Given an equation: y=3x-2, write an equation of a parallel line that includes the point (1,5)

y = 3x + 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 = 3x - 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

To find c substitute (1, 5 ) into the partial equation

5 = 3 + c ⇒ c = 5 - 3 = 2

y = 3x + 2 ← equation of parallel line

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