Question

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?

Answer 1

D

Explanation:

yes

Answer 2

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