Question

Which of the following is the equation of a line perpendicular to the line y=-10x+1, passing through the point (5,7)?

a) -1/10x+y=-13/2
b)1/10x+y=-13/2
c) 1/10x-y=-13/2
d) -1/10x-y=13/2

Answer 1

well if its orthogonal then it will have the negative reciprocal of the slope, so we know its either a or d
so
which one of those does the point (5,7) lie on?

Answer 2

You can confirm it by seeing which equation is true when x = 5, and y = 7