Answer :

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Answer:

y = 4x - 11

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 - 7 ← is in slope- intercept form

with slope m = 4

• Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation of the parallel line

to find c substitute (3, 1 ) into the partial equation

1 = 12 + c ⇒ c = 1 - 12 = - 11

y = 4x - 11 ← equation of parallel line

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