Question

Write the equation of a line that is perpendicular to the given line and that passes through the given point. Y-2=-1/4(x+3); (-3,5)

A. Y= -3x - 5
B. Y=1/4x-6
C. Y=4x+17
D. Y =4x+5

Answer 1

Hello:

the equation is : y = ax+b

the slope is a : a×(-1/4) = -1......( perpendicular to a line with a slope of -1/4)

a = 4 y=4x+b

the line that passes through (-3, 5) : 5 = 4(-3)+b

b = 17

the equation is : y = 4x+ 17

Explanation: