Question

What is the equation of the line that is parallel to y=4/7x-3 and passed through (14,4)?

Answer 1

see explanation

Explanation:

The equation of a line in slope- intercept form is

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

y =
`(4)/(7)` x - 3 is in this form

with slope m =
`(4)/(7)`

• Parallel lines have equal slopes, hence

y =
`(4)/(7)` x + c ← is the partial equation

To find c substitute (14, 4) into the partial equation

4 = 8 + c ⇒ c = 4 - 8 = - 4

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

Answer 2

The correct answer is actually:
y=4/7x-4