Question

What is the slope of this line?
-7,-4 -7,-5

Answer 1

To find the slope of a line given two points, you can use the formula for the slope \( m \):

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Given the points \((-7, -4)\) and \((-7, -5)\):

- Point 1: \((x_1, y_1) = (-7, -4)\)
- Point 2: \((x_2, y_2) = (-7, -5)\)

Now, substituting the values into the slope formula:

\[
m = \frac{-5 - (-4)}{-7 - (-7)} = \frac{-5 + 4}{-7 + 7} = \frac{-1}{0}
\]

Since division by zero is undefined, the slope of the line that passes through these two points is undefined. This corresponds to a vertical line.