Goes through (1,4) is parallel to y=3x-7

y = 3x + 1

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 - 7 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (1, 4) into the partial equation

4 = 3 + c ⇒ c = 4 - 3 = 1

y = 3x + 1 ← equation of parallel line

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: