Question

Line IJ has an equation of a line y = −3x − 8. Which of the following could be an equation for a line that is parallel to line IJ?

A) y=3x+7
B) y=1/3x+7
C) y= -3x+7
D) y= -1/3x+7

Answer 1

y = -3x +7 which is option C

got it right on my test.

Answer 2

C) y = -3x +7

Explanation:

It's all about recognizing patterns.

The form of the equation is ...

... y = mx + b

In this form, the coefficient of x, which we called "m" in the above, is the slope of the line. When two lines have the same slope, they are parallel. So, we're looking for an equation that has an x-coefficient of -3, the same as in the given equation.

The coefficient of x in selection C is -3, so that is our answer choice.

... C) y = -3x +7