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).

Answer 1

Answer:

3x + 4y = 1

Step-by-step explanation:

determine the equation of the line that is perpendicular to the line 4x – 3y = –8 and passes through the point (3, –2).

4x – 3y = –8

=> 3y = 4x + 8

=> y = 4x/3 + 8/3

Comparing with

y = mx + c

m = 4/3

a line would be perpendicular if

Multiplication of their slope is - 1

=> m * (4/3) = -1

=> m = -3/4

y = (-3/4)x + c

lone passes through (3 , -2)

=> -2 = (-3/4)(3) + c

=> c = -2 + 9/4

=> c = 1/4

y = (-3/4)x  + 1/4

=> 4y = -3x + 1

=> 3x + 4y = 1