Write an equation of the line that has a slope of 2 and goes through (4, - 1).

y = 2x - 9

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)

Here m = 2, thus

y = 2x + c ← is the partial equation

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

- 1 = 8 + c ⇒ c = - 1 - 8 = - 9

y = 2x - 9 ← equation of line