Question

What is an equation that shows a line which has a slope of – 3 and goes through (3,-2).

Answer 1

y = - 3x + 7

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 = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = - 3x + 7 ← equation of line