Write an equation for the line that passes through (-1,4) with a slope of - 10

y = - 10x - 6

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 slope m = - 10, hence

y = - 10x + c ← is the partial equation

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

4 = 10 + c ⇒ c = 4 - 10 = - 6

y = - 10x - 6 ← equation of line