Which of the following equations defines a line that passes through the points (-2,7) and (6,-9)

Hello,

To find the equation that defines a line that passes through the points (-2, 7) and (6, -9) can be found by using the slope formula.

Slope formula is: .

First, substitute two ordered pairs (in this case (-2, 7) and (6, -9)) into the slope formula to get a slope of -2. Then, we need to find the y-intercept. 

y = -2x + b (b is the y-intercept) 

Then, substitute an ordered pair into the equation above to find the y-intercept.
We can use (-2, 7) for now.

7 = -2(-2) + b
7 = 4 + b
-4  -4 
b = 3
y = -2x + 3

Your final equation is y = -2x + 3. Hopefully this helps! :)