Question

Identify an equation in slope-intercept form the line parallel to y=-3x+7that passes through (2,-4)

Answer 1

y=-3x+2

Explanation:

In this equation the slope is the same as the original equation (-3), but has a different y-intercept meaning that this line is parallel. As for satisfying the requirement that the line is parallel and passes through (2,-4), I plugged the coordinates into the equation y=-3x+b to get -4=-3(2)+b, and then found what b would have to equal to make the equation true.

(plus I put my answer into a graphing calculator to check my work)

Answer 2

y=-3x+2

Explanation:

Same slope = parallel. You can aso double check this answer by either graphing using the desmos online graphing calculator or by plugging in the point into the equation y = -3(2) + 2 --> y = -6 + 2 --> y = -4, so we are correct.