Question

Through: (5, -5), perp, to y= 2x + 2

Answer 1

y = -1/2x - 2.5

Explanation:

y=-1/2x+b

-5 = -1/2 (5) + b

-5 = -2.5 + b

b = -2.5

y = -1/2x - 2.5

Answer 2

y = -1/2x - 2.5 or y = -0.5x - 2.5

Explanation:

You want to first find the slope of this perpendicular lie which is the negative reciprocal.

Original slope = 2

New slope = -1/2

So now you want to plug in the (5,-5) to find the y-intercept

y=-1/2x+b

-5 = -1/2 (5) + b

-5 = -2.5 + b

b = -2.5

So, your new equation is y = -1/2x - 2.5