Question

What is the slope of a line that goes through the points:

( 4, 7) and ( −1, 9)
(1 point)

Answer 1

To find the slope of a line that goes through two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the formula:

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

For the points \((4, 7)\) and \((-1, 9)\):

- \(x_1 = 4\), \(y_1 = 7\)
- \(x_2 = -1\), \(y_2 = 9\)

Now, substituting into the slope formula:

\[
m = \frac{9 - 7}{-1 - 4}
\]
\[
m = \frac{2}{-5}
\]
\[
m = -\frac{2}{5}
\]

Thus, the slope of the line is \(-\frac{2}{5}\).