How to find the slope of a perpendicular line - Geometry

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Question

Any line that is perpendicular to must have a slope of what?

Answer

Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line. First, we must subtract from both sides of the equation, giving us . Next, we must divide both sides by , giving us . We can now see that the slope of this line is . Therefore, any line that is perpendicular to this one must have a slope of .

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Question

A line goes through the following and .

Find the slope of a line perpendicular to the line given.

Answer

The slope of a line perpendicular is the negative reciprocal of the given line.

Since the given slope is calculated as $\frac{8-5}{10-4}=\frac{3}{6}=\frac{1}{2}$ , then the slope of the perpendicular line would be .

Compare your answer with the correct one above

Question

What is the slope of any line perpendicular to $y=-\frac{1}{2}x+5$ ?

Answer

The slope of a perpendicular line is the negative reciprocal of the original slope.

The original slope is $-\frac{1}{2}$ .

The negative reciprocal of the original slope is:

$-\frac{1}{-(\frac{1}{2})} = 2$

Compare your answer with the correct one above

Question

What is the slope of a line perpendicular to ?

Answer

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero.

The correct answer is .

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Question

Assume the points and form a line. A perpendicular line is drawn to intersect this line. What is the slope of the perpendicular line?

Answer

Write the slope formula and find the slope of the first line.

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1}{2-1}=\frac{2}{1}=2$

The slope of the perpendicular line is the negative reciprocal of the original slope.

$-\frac{1}{(2)} =-\frac{1}{2}$

Therefore, the slope of the perpendicular line is $-\frac{1}{2}$ .

Compare your answer with the correct one above

Question

Any line that is perpendicular to must have a slope of what?

Answer

Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line. First, we must subtract from both sides of the equation, giving us . Next, we must divide both sides by , giving us . We can now see that the slope of this line is . Therefore, any line that is perpendicular to this one must have a slope of .

Compare your answer with the correct one above

Question

A line goes through the following and .

Find the slope of a line perpendicular to the line given.

Answer

The slope of a line perpendicular is the negative reciprocal of the given line.

Since the given slope is calculated as $\frac{8-5}{10-4}=\frac{3}{6}=\frac{1}{2}$ , then the slope of the perpendicular line would be .

Compare your answer with the correct one above

Question

What is the slope of any line perpendicular to $y=-\frac{1}{2}x+5$ ?

Answer

The slope of a perpendicular line is the negative reciprocal of the original slope.

The original slope is $-\frac{1}{2}$ .

The negative reciprocal of the original slope is:

$-\frac{1}{-(\frac{1}{2})} = 2$

Compare your answer with the correct one above

Question

What is the slope of a line perpendicular to ?

Answer

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero.

The correct answer is .

Compare your answer with the correct one above

Question

Assume the points and form a line. A perpendicular line is drawn to intersect this line. What is the slope of the perpendicular line?

Answer

Write the slope formula and find the slope of the first line.

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1}{2-1}=\frac{2}{1}=2$

The slope of the perpendicular line is the negative reciprocal of the original slope.

$-\frac{1}{(2)} =-\frac{1}{2}$

Therefore, the slope of the perpendicular line is $-\frac{1}{2}$ .

Compare your answer with the correct one above

Question

Any line that is perpendicular to must have a slope of what?

Answer

Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line. First, we must subtract from both sides of the equation, giving us . Next, we must divide both sides by , giving us . We can now see that the slope of this line is . Therefore, any line that is perpendicular to this one must have a slope of .

Compare your answer with the correct one above

Question

A line goes through the following and .

Find the slope of a line perpendicular to the line given.

Answer

The slope of a line perpendicular is the negative reciprocal of the given line.

Since the given slope is calculated as $\frac{8-5}{10-4}=\frac{3}{6}=\frac{1}{2}$ , then the slope of the perpendicular line would be .

Compare your answer with the correct one above

Question

What is the slope of any line perpendicular to $y=-\frac{1}{2}x+5$ ?

Answer

The slope of a perpendicular line is the negative reciprocal of the original slope.

The original slope is $-\frac{1}{2}$ .

The negative reciprocal of the original slope is:

$-\frac{1}{-(\frac{1}{2})} = 2$

Compare your answer with the correct one above

Question

What is the slope of a line perpendicular to ?

Answer

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero.

The correct answer is .

Compare your answer with the correct one above

Question

Assume the points and form a line. A perpendicular line is drawn to intersect this line. What is the slope of the perpendicular line?

Answer

Write the slope formula and find the slope of the first line.

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1}{2-1}=\frac{2}{1}=2$

The slope of the perpendicular line is the negative reciprocal of the original slope.

$-\frac{1}{(2)} =-\frac{1}{2}$

Therefore, the slope of the perpendicular line is $-\frac{1}{2}$ .

Compare your answer with the correct one above

Question

Any line that is perpendicular to must have a slope of what?

Answer

Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line. First, we must subtract from both sides of the equation, giving us . Next, we must divide both sides by , giving us . We can now see that the slope of this line is . Therefore, any line that is perpendicular to this one must have a slope of .

Compare your answer with the correct one above

Question

A line goes through the following and .

Find the slope of a line perpendicular to the line given.

Answer

The slope of a line perpendicular is the negative reciprocal of the given line.

Since the given slope is calculated as $\frac{8-5}{10-4}=\frac{3}{6}=\frac{1}{2}$ , then the slope of the perpendicular line would be .

Compare your answer with the correct one above

Question

What is the slope of any line perpendicular to $y=-\frac{1}{2}x+5$ ?

Answer

The slope of a perpendicular line is the negative reciprocal of the original slope.

The original slope is $-\frac{1}{2}$ .

The negative reciprocal of the original slope is:

$-\frac{1}{-(\frac{1}{2})} = 2$

Compare your answer with the correct one above

Question

What is the slope of a line perpendicular to ?

Answer

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero.

The correct answer is .

Compare your answer with the correct one above

Question

Assume the points and form a line. A perpendicular line is drawn to intersect this line. What is the slope of the perpendicular line?

Answer

Write the slope formula and find the slope of the first line.

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1}{2-1}=\frac{2}{1}=2$

The slope of the perpendicular line is the negative reciprocal of the original slope.

$-\frac{1}{(2)} =-\frac{1}{2}$

Therefore, the slope of the perpendicular line is $-\frac{1}{2}$ .

Compare your answer with the correct one above

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How to find the slope of a perpendicular line - Geometry

Any line that is perpendicular to must have a slope of what?

A line goes through the following and . Find the slope of a line perpendicular to the line given.

The slope of a line perpendicular is the negative reciprocal of the given line. Since the given slope is calculated as , then the slope of the perpendicular line would be .

What is the slope of any line perpendicular to ?

The slope of a perpendicular line is the negative reciprocal of the original slope. The original slope is . The negative reciprocal of the original slope is:

What is the slope of a line perpendicular to ?

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero. The correct answer is .

Assume the points and form a line. A perpendicular line is drawn to intersect this line. What is the slope of the perpendicular line?

Write the slope formula and find the slope of the first line. The slope of the perpendicular line is the negative reciprocal of the original slope. Therefore, the slope of the perpendicular line is .

Any line that is perpendicular to must have a slope of what?

A line goes through the following and . Find the slope of a line perpendicular to the line given.

The slope of a line perpendicular is the negative reciprocal of the given line. Since the given slope is calculated as , then the slope of the perpendicular line would be .

What is the slope of any line perpendicular to ?

The slope of a perpendicular line is the negative reciprocal of the original slope. The original slope is . The negative reciprocal of the original slope is:

What is the slope of a line perpendicular to ?

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero. The correct answer is .

Assume the points and form a line. A perpendicular line is drawn to intersect this line. What is the slope of the perpendicular line?

Write the slope formula and find the slope of the first line. The slope of the perpendicular line is the negative reciprocal of the original slope. Therefore, the slope of the perpendicular line is .

Any line that is perpendicular to must have a slope of what?

A line goes through the following and . Find the slope of a line perpendicular to the line given.

The slope of a line perpendicular is the negative reciprocal of the given line. Since the given slope is calculated as , then the slope of the perpendicular line would be .

What is the slope of any line perpendicular to ?

The slope of a perpendicular line is the negative reciprocal of the original slope. The original slope is . The negative reciprocal of the original slope is:

What is the slope of a line perpendicular to ?

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero. The correct answer is .

Assume the points and form a line. A perpendicular line is drawn to intersect this line. What is the slope of the perpendicular line?

Write the slope formula and find the slope of the first line. The slope of the perpendicular line is the negative reciprocal of the original slope. Therefore, the slope of the perpendicular line is .

Any line that is perpendicular to must have a slope of what?

A line goes through the following and . Find the slope of a line perpendicular to the line given.

The slope of a line perpendicular is the negative reciprocal of the given line. Since the given slope is calculated as , then the slope of the perpendicular line would be .

What is the slope of any line perpendicular to ?

The slope of a perpendicular line is the negative reciprocal of the original slope. The original slope is . The negative reciprocal of the original slope is:

What is the slope of a line perpendicular to ?

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero. The correct answer is .

Assume the points and form a line. A perpendicular line is drawn to intersect this line. What is the slope of the perpendicular line?

Write the slope formula and find the slope of the first line. The slope of the perpendicular line is the negative reciprocal of the original slope. Therefore, the slope of the perpendicular line is .

A line goes through the following and .

Find the slope of a line perpendicular to the line given.

The slope of a line perpendicular is the negative reciprocal of the given line.

Since the given slope is calculated as $\frac{8-5}{10-4}=\frac{3}{6}=\frac{1}{2}$ , then the slope of the perpendicular line would be .

What is the slope of any line perpendicular to $y=-\frac{1}{2}x+5$ ?

The slope of a perpendicular line is the negative reciprocal of the original slope.

The original slope is $-\frac{1}{2}$ .

The negative reciprocal of the original slope is:

$-\frac{1}{-(\frac{1}{2})} = 2$

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero.

The correct answer is .

A line goes through the following and .

Find the slope of a line perpendicular to the line given.

The slope of a line perpendicular is the negative reciprocal of the given line.

Since the given slope is calculated as $\frac{8-5}{10-4}=\frac{3}{6}=\frac{1}{2}$ , then the slope of the perpendicular line would be .

What is the slope of any line perpendicular to $y=-\frac{1}{2}x+5$ ?

The slope of a perpendicular line is the negative reciprocal of the original slope.

The original slope is $-\frac{1}{2}$ .

The negative reciprocal of the original slope is:

$-\frac{1}{-(\frac{1}{2})} = 2$

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero.

The correct answer is .

A line goes through the following and .

Find the slope of a line perpendicular to the line given.

The slope of a line perpendicular is the negative reciprocal of the given line.

Since the given slope is calculated as $\frac{8-5}{10-4}=\frac{3}{6}=\frac{1}{2}$ , then the slope of the perpendicular line would be .

What is the slope of any line perpendicular to $y=-\frac{1}{2}x+5$ ?

The slope of a perpendicular line is the negative reciprocal of the original slope.

The original slope is $-\frac{1}{2}$ .

The negative reciprocal of the original slope is:

$-\frac{1}{-(\frac{1}{2})} = 2$

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero.

The correct answer is .

A line goes through the following and .

Find the slope of a line perpendicular to the line given.

The slope of a line perpendicular is the negative reciprocal of the given line.

Since the given slope is calculated as $\frac{8-5}{10-4}=\frac{3}{6}=\frac{1}{2}$ , then the slope of the perpendicular line would be .

What is the slope of any line perpendicular to $y=-\frac{1}{2}x+5$ ?

The slope of a perpendicular line is the negative reciprocal of the original slope.

The original slope is $-\frac{1}{2}$ .

The negative reciprocal of the original slope is:

$-\frac{1}{-(\frac{1}{2})} = 2$

The equation is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero.

The correct answer is .