Question

Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.

(-4,7), (-5,-2)
Choose the equation of the line in the form Ax + By = C.

Answer 1

The answer to the question is -9 + y = 43

Answer 2

-9x + y = 43

Explanation:

We can put the equation into y = mx + b form first, then change it to Ax + By = C

First, we can find the slope by doing rise/run (y2 - y1) / (x2 - x1)

(-2 - 7) / (-5 + 4)

-9/-1 = 9

We can put this into the equation y = mx + b, along with another point, to find b:

y = mx + b

7 = 9(-4) + b

7 = -36 + b

43 = b

Now, we know the equation will be y = 9x + 43, and we can rearrange this:

Subtract 9x from both sides:

-9x + y = 43 will be the equation of the line