Which equation is the equation of a line that passes through (-10,3) and is perpendicular to y=5x-7

A)y=5x+53*****
B)y=-1/5x-7
C)y=-1/5x+1
D)y=1/5x+5

Am I correct
Please explain

the slope of the given line is 5

so the slope of the perpendicular line must be -1/5
So immediately you know your choice is wrong.

the new line must be
y-3 = (-1/5)(x+10)
y = (-1/5)x - 2 + 3
y = (-1/5)x + 1 <-------- C

what reasoning do you have to choose A ?