Question

Which equation represents a line which is perpendicular to the line y = 4/3x -7

A)3x + 4y = 8

B)4x – 3y = 24

C)4x + 3y = -6

D)4y - 3x = 12

Answer 1

A)3x + 4y = 8

Explanation:

Given expression;

y =
`(4)/(3) x` - 7

A line perpendicular to this will have negative inverse slope;

the slope of the given line =
`(4)/(3)`

perpendicular line =
`-(3)/(4)`

Now;

the equation of the line is;

y =
`-(3)/(4)` x - 7

multiply through by 4

4y = -3x - 28

4y + 3x = -28