Question

Find the slope between the points (−7, 1) and (5, 9) .

Answer 1

To find the slope between the points \((-7, 1)\) and \( (5, 9)\), you can use the formula for the slope \(m\):

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

Here, \((x_1, y_1) = (-7, 1)\) and \((x_2, y_2) = (5, 9)\).

Plugging in the values:

\[
m = \frac{9 - 1}{5 - (-7)} = \frac{8}{5 + 7} = \frac{8}{12}
\]

Now simplify \(\frac{8}{12}\):

\[
m = \frac{2}{3}
\]

Thus, the slope between the points \((-7, 1)\) and \( (5, 9)\) is \(\frac{2}{3}\).