Question

Write the slope-intercept form of the linear equation that is parallel to y = -3x + 5 and passes through (-4,5)

Answer 1

y = -3x - 7

Explanation:

slope: -3

point: (-4,5)

slope formula: y = mx + b

m = slope

b = y-intercept

First, substitute in slope

y = -3x + b

Then, substitute the point (x,y) to solve for b

5 = -3(-4) + b

5 = 12 + b

5 - 12 = 12 - 12 + b (Subtract 12 on both sides to balance equation)

-7 = b

Now, plug in whole equation without the point

y = -3x - 7