Find the slope, if it exists, of the line containing the pair of points.

Question

(-16,-2) and (-17,-9)
The slope is __

Answer 1

To find the slope of a line containing two points, we can use the formula:
\[\text{slope} = \frac{y_2-y_1}{x_2-x_1}\]

Let's plug in the values:
\[\text{slope} = \frac{-9-(-2)}{-17-(-16)} = \frac{-9+2}{-17+16} = \frac{-7}{-1} = 7\]

So, the slope of the line containing the points (-16,-2) and (-17,-9) is 7.