Algebra 1 : How to find the equation of a parallel line

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #21 : Parallel Lines

Which of the following lines is parallel to the following line:

Possible Answers:

Correct answer:

Explanation:

Parallel lines have the same slope and the only equation that has the same slope as the given equation is 

Example Question #21 : Parallel Lines

Which of the lines is parallel to ?

Possible Answers:

Correct answer:

Explanation:

In order for the lines to be parallel, both lines must have similar slope.

The current linear equation is in standard form.  Rewrite this equation in slope intercept form, .

The slope is represented by the  in the equation.

Subtract  on both sides.

Simplify the left side and rearrange the right side.

Divide by nine on both sides.

Simplify both sides of the equation.

The slope of this line is .

The only line provided that has the similar slope is:  

The answer is:  

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