Equation of the line through (2,6) and parallel to y=4x-5

y = 4x - 2

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 = 4x - 5 ← is in slope - intercept form

with slope m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (2, 6) into the partial equation

6 = 8 + c ⇒ c = 6 - 8 = - 2

y = 4x - 2 ← equation of parallel line