Write the equation of the line in slope-intercept that has passes through the points (-8,-11) and (10,-2).

y = 0.5x-7

Step-by-step explanation:

First we need to find the slope so we use the formula y2 - y1 / x2 - x1 = m

The variable m will represent the slope or rate of change

-2 - (-11) / 10 - (-8) = m

Or

-2 + 11 / 10+8 = m

9/18 = m

0.5 = m

y = 0.5x+b

To find b replace the y and x variables

I will use 10 and -2

-2 = 0.5(10)+b

You should come out with -7 = b

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)