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

step-by-step explanation:

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step-by-step explanation: