Question

What is the equation of the line perpendicular to the line y = 4/9 X _ 2 that passes through the point (4,3)?

Answer 1

The equation is y =
`-(9)/(4)` x + 12

Explanation:

If the line is perpendicular to the line: y =
`(4)/(9)` x - 2,

then : m = ( - 1 ) : (
`(4)/(9)`) =
`-(9)/(4)`

y = m x + b

3 =
`-(9)/(4)` * 4 + b

3 = - 9 + b

b = 3 + 9

b = 12

Therefore the equation is y =
`-(9)/(4)`x + 12

Answer 2

If the line is perpendicular to the line: y = 4/9 x - 2,
then : m = ( - 1 ) : ( 4/9 ) = - 9/4
y = m x + b
3 = - 9/4 * 4 + b
3 = - 9 + b
b = 3 + 9
b = 12
Answer:
The equation is:
y = - 9/4 x + 12