What is the slope of the points( -3, 10), (-13, -6)

Recall that slope is rise over run, or change in y over change in x.

First, let's take out y values in order. We have 10 and -6. To get from 10 to -6, you need to subtract 16, which gives us our numerator.

Now, let's take our x values in order. We have -3 and -13. To get from -3 to -13, you need to subtract ten.

Now we have our slope, which is . If we simplify this, our final answer is .

X^2 - 4x +(4/2^2) + y^2 + 8y + (8/2^2) = -4 + (4/2^2) + (8/2^2)(x + 2)^2 + (y + 4)^2 = -4 + 4 + 16your center is (-2, -4) and the radius is the sqrt of -4 + 4 + 16 which is 4