Best explained and correct answer gets ! which choice is the equation of a line that passes through the point (5, -1) and is perpendicular to the line represented by this equation? y = -x + 5a) y = x - 6b) 5x - 5 = y c. y = -x - 1d) 2x - 5y = -1

y = -x + 5

Slope of this line = - 1.

Slope of the line that is perpendicular is negative reciprocal.

For example if slope= a/b, then slope of the perpendicular line = -b/a.

For our line, the slope is going to be -(-1)=1.

y=mx +b

m=1

y=x+b

We need to find b. We are going to use point (5, -1).

y = x +b

-1 = 5 + b

b= -6

So,

y= x - 6

Answer is A.

step-by-step explanation: