What is the equation of the line that has a slope of - 4 and goes through (-1,6)

y = - 4x + 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)

Here m = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute ( - 1, 6) into the partial equation

6 = 4 + c ⇒ c = 6 - 4 = 2

y = - 4x + 2 ← equation of line