Question

What is the equation of this graphed line?

A graph with a line running through coordinates (-6, -3) and coordinates (6, -7)

Answer 1

y= 1/3x-5 is the answer.

Answer 2

y = -1/3x - 5

Explanation:

Use rise over run to find the slope: (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-7 + 3) / (6 + 6)

-4 / 12

= -1/3

Plug in the slope and a point into y = mx + b, and solve for b:

y = mx + b

-3 = -1/3(-6) + b

-3 = 2 + b

-5 = b

Plug in the slope and b into y = mx + b

y = -1/3x - 5 is the equation of the line