What is an equation that goes through the point -3,4 on a graph and is parallel to y=4x+5?

y = 4x + 16

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 this form

with slope m = 4

Parallel lines have equal slopes, thus

y = 4x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 12 + c ⇒ c = 4 + 12 = 16

y = 4x + 16 ← equation of parallel line

power property.

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