Question

Find the equation of the line given the two points below

A(−3,−2) B(6,−8)

Answer 1

y = -2/3x - 4

Explanation:

Formula: y = mx + b

m (slope)

b (y-intercept)

Slope Formula: y2 - y1 ÷ x2 - x1

Substitute: -8-(-2) = -8+2 = -6

6-(-3) = 6+3 = 9

-6/9 (funny, I know)

Simplify --> -2/3

slope = -2/3

Substitute for the y-intercept --> to do this, we plug in a coordinate pair

-8 = -2/3(6) + b

-8 = -4 + b => add 4 to both sides

b = -4, and thus, our y-intercept is -4

Plug our values into the formula: y = mx + b

y = -2/3x + (-4)

simplify to get our final equation

y = -2/3x - 4