Question

A line has the equation y=1/4x-1. find the equation if a parallel line through (8,5)​

Answer 1

y =
`(1)/(4)` x + 3

Explanation:

The equation of a line in slope- intercept form is

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

y =
`(1)/(4)` x - 1 ← is in this form

with slope m =
`(1)/(4)`

• Parallel lines have equal slopes, thus

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

To find c substitute (8, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

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