Pre-Algebra : Graphing Lines

Example Questions

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Example Question #35 : Graphing

What is the slope of the line with the equation ?

Explanation:

In the standard form equation of a line, , the slope is represented by the variable .

In this case the line  has a slope of .

Therefore the answer is .

Example Question #1 : Graphing Lines

What is the slope of the line that contains the points

and

Explanation:

To find the slope of a line with two points you must properly plug the points into the slope equation for two points which is

We must then properly assign the points to the equation as  and .

In this case we will make  our  and  our .

Plugging the points into the equation yields

Perform the math to arrive at

The answer is .

Example Question #2 : Graphing Lines

What is the slope of the line ?

Explanation:

In the standard form of a line  the slope is represented by the variable .

In this case the line  has a slope of .

The answer is .

Example Question #3 : Graphing Lines

The equation of a line is .

What are the slope and the y-intercept?

Slope:

y-intercept:

Slope:

y-intercept:

Slope:

y-intercept:

Slope:

y-intercept:

Slope:

y-intercept:

Explanation:

The equation of the line is written in slope-intercept form, , where  is the slope and  is the y-intercept. In this example, the y-intercept is a negative number.

Example Question #4 : Graphing Lines

What is the y-intercept of the line ?

Explanation:

The y-intercept is the point at which the line intersects the y-axis.

It does this at .

We plug  in for  in our equation, , to give us .

Anything multiplied by  is , so .

Our coordinates for the y-intercept are .

Example Question #5 : Graphing Lines

What is the slope of the line ?

Explanation:

In the slope-intercept form of a line, , the slope is represented by the variable .

In this case the line

has a slope of .

The answer is .

Example Question #41 : Graphing

What is the y-intercept of the line ?

Explanation:

In the slope-intercept form of a line, , the y-intercept is when the line intersects the y-axis.

It does this at .

So we plug  in for  in our equation

to give us

Anything multiplied by  is  so

Our coordinates for the y-intercept are .

Example Question #42 : Graphing

What is the slope of a line that is parallel to ?

Explanation:

Parallel lines have the same slope.

If an equation is in slope-intercept form, , we take the  from our equation and set it equal to the slope of our parallel line.

In this case .

The slope of our parallel line is .

Example Question #43 : Graphing

What is the slope of the line that contains the points,  and ?

Explanation:

To find the slope of a line with two points you must properly plug the points into the slope equation for two points which looks like

We must then properly assign the points to the equation as  and .

In this case we will make  our  and  our .

Plugging the points into the equation yields

Perform the math to arrive at

The answer is .

Example Question #44 : Graphing

What is the slope of the line that contains the points,  and ?

Explanation:

To find the slope of a line with two points you must properly plug the points into the slope equation for two points which looks like

We must then properly assign the points to the equation as  and .

In this case we will make  our , and  our .

Plugging the points into the equation yields

Perform the math to arrive at

The answer is .

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