Find the equation of the line that passes through (1,-2) and is parallel to y=3x+4

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 + 4 ← is in slope - intercept form

with slope m = 3

Parallel lines have equal slopes, thus

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

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

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of line