Question

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

Answer 1

y = - 2x + 12

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