Question

A line passes through the points (2, -2) and (8, -20), and satisfies the equation "y + 2 = ?". What goes in the equation

where the question mark is?

Answer 1

-3x + 6

Explanation:

(2,-2) (9,-20)

Slope
`(-20- - 2)/(8-2)` =
`(-18)/(6)` = -3

y = mx + b

Use the slope -3 and the point (2,-2) to find the y intercept

m = -3

y = -2 From the point given

x = 2 From the point given

y = mx + b

-2 = -3(2) + b

-2 = -6 +b Add six to both sides

4 = b

y = -3x + 4 We want to have y = 2 so we will add 2 to both sides

y + 2 = -3x + 4 + 2

y + 2 = -3x + 6