Question

Find the slope of the line that passes through the points (2,7) and (2,-6).
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1 point
1
0
undefined
-1

Answer 1

To find the slope of the line that passes through the points (2, 7) and (2, -6), we can use the formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Substituting the points \((2, 7)\) and \((2, -6)\):

- \(x_1 = 2\), \(y_1 = 7\)
- \(x_2 = 2\), \(y_2 = -6\)

Now, plug in the values:

\[
m = \frac{-6 - 7}{2 - 2} = \frac{-13}{0}
\]

Since division by zero is undefined, the slope is considered to be **undefined**.

Thus, the slope of the line that passes through the points (2, 7) and (2, -6) is **undefined**.