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

y = x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = x - 1 ← is in this form

with slope m =

• Parallel lines have equal slopes, thus

y = 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 = x + 3 ← equation of parallel line

step-by-step explanation: