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What is an equation of the line that is parallel to y=4x-1 and that passes through the point (-3,5)

Respuesta :

Answer:

y = 4x + 17

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 - 1 is in this form with m = 4

• Parallel lines have equal slopes, hence

y = 4x + c ← is the partial equation

To find c substitute (- 3, 5) into the partial equation

5 = - 12 + c ⇒ c = 5 + 12 = 17

y = 4x + 17 ← equation of parallel line