Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y = –8 and passes through the point (3, –2). alejandro made his first error in which step?

We can determine the equation of the perpendicular line by finding its slope and using the given point by replacing in the standard equation.

Standard equation: y-y1 = m(x-x1)

m*m'=-1
where m' = the slope of the perpendicular line
m = the other line

m = -coeficient of x/ coeficient of y = -4/-3 = 4/3
m' -3/4

Replacing the point (3, -2):
y+2 = -3/4*(x-3)
4y+8 = -3x+9

The equation of the perpendicular line is: 3x+4y-1=0