Algebra 1 : Slope and Line Equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #572 : Functions And Lines

Find the slope of the equation:

Possible Answers:

Correct answer:

Explanation:

In order to determine the slope from the given equation we need to make sure that it is written in the following format:

If the equation of a line is written in the slope-intercept form, then  is slope and  is the y-intercept.

In this case the slope is:

Example Question #573 : Functions And Lines

Find the slope of the equation:

?

Possible Answers:

Correct answer:

Explanation:

In order to determine the slope from the given equation we need to make sure that it is written in the following format:

If the equation of a line is written in the slope-intercept form, then  is slope and  is the y-intercept.

In this case we need to convert the equation into slope-intercept form.

 

Subtract  from both sides.

 

Divide both sides by

 

Rewrite.

Identify the slope.

 

Example Question #574 : Functions And Lines

Find the slope of the equation:

Possible Answers:

Correct answer:

Explanation:

In order to determine the slope from the given equation we need to make sure that it is written in the following format:

If the equation of a line is written in the slope-intercept form, then  is slope and  is the y-intercept.

In this case we need to convert the equation into slope-intercept form.

 

Subtract  from both sides.

 

Divide both sides by .

 

Identify the slope.

Example Question #241 : Slope And Line Equations

What is the slope of the line connected by the points  and ?

Possible Answers:

Correct answer:

Explanation:

Write the slope formula.

Substitute the points into the formula.

Rewrite the numbers on the top and bottom with a common denominator.

Simplify the top and bottom.

Rewrite this complex fraction using multiplication.

Multiply the numerator by numerator and denominator by denominator.

The slope is .

Example Question #242 : Slope And Line Equations

Find the slope of the line:  

Possible Answers:

Correct answer:

Explanation:

In order to find the slope, we will need to put this equation in slope-intercept form.

Write the slope-intercept form.

Isolate the y-term by subtracting  on both sides.

Simplify both sides.

Divide by six on both sides.

Simplify both fractions and split the terms on the right side.

The equation in standard form is:  

We can see that the slope is:  

Example Question #243 : Slope And Line Equations

Find the slope of the given line:

   

Possible Answers:

undefined 

Correct answer:

Explanation:

First rearrange in the form y = m*x+b where m = slope and b = y-intercept

 

Slope = 

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