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

y = - 1/2x - 2.5

Step-by-step explanation:

y=-1/2x+b

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

-5 = - 2.5 + b

b = - 2.5

y = - 1/2x - 2.5

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

Step-by-step 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