Question

Find the slope between the points (6, −5) and (−1, 9)

Answer 1

To find the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the formula:

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

Given the points \((6, -5)\) and \((-1, 9)\):

- \(x_1 = 6\)
- \(y_1 = -5\)
- \(x_2 = -1\)
- \(y_2 = 9\)

Now plug these values into the formula:

\[
m = \frac{9 - (-5)}{-1 - 6}
\]

This simplifies to:

\[
m = \frac{9 + 5}{-1 - 6} = \frac{14}{-7} = -2
\]

Thus, the slope between the points (6, −5) and (−1, 9) is \(-2\).