Question

What is the equation of a line that is parallel to -3x + 4y = 4 and passes through the point (4, 0)?

Enter your answer as a slope intercept equation (y=mx+b) in the box.

Answer 1

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

Explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

given

- 3x + 4y = 4 ( add 3x to both sides )

4y = 3x + 4 ( divide through by 4 )

y =
`(3)/(4)` x + 1 ← in slope- intercept form

with slope m =
`(3)/(4)`

• Parallel lines have equal slopes , then

y =
`(3)/(4)` x + b ← is the partial equation of the parallel line

to find b substitute (4, 0 ) into the partial equation

0 = 3 + b ⇒ b = 0 - 3 = - 3

y =
`(3)/(4)` x - 3 ← equation of parallel line