Write an equation that is parallel to the line y = 3x − 5 and passes through the point (−1, 2).

y = 3x + 5

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 - 5 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (- 1, 2) into the partial equation

2 = - 3 + c ⇒ c = 2 + 3 = 5

y = 3x + 5 ← equation of parallel line

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step-by-step explanation: