write an equation in slope intercept form for a line through the following: through (5,2). with a slope of - 2

y = - 2x + 12

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 (5, 2) into the partial equation

2 = - 10 + c ⇒ c = 2 + 10 = 12

y = - 2x + 12 ← equation of line