Question

Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to line 4x - 3y = 8 and passed through the point (3,-2)

Answer 1

 

Hello:
the equation is : y = ax+b
the slope is a : a×(4/3) = -1......( perpendicular to a line with a slope of   4/3)            because :     4x-3y =8...y=(4/3)x-8/3    )     

a = -3/4         y=(-3/4)x+b
the line that passes through (3, -2) :- 2 = (-3/4)(3)+b
b =1/4
 the equation is :  y  = (-3/4)x+1/4