Question

find the slope of the line passing through the points (-2, -7) and (3,5)

Answer 1

To find the slope of the line passing through the points \((-2, -7)\) and \( (3, 5)\), you can use the slope formula:

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

where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points. Let's assign the points:

- \((x_1, y_1) = (-2, -7)\)
- \((x_2, y_2) = (3, 5)\)

Now, substitute these values into the slope formula:

\[
m = \frac{5 - (-7)}{3 - (-2)} = \frac{5 + 7}{3 + 2} = \frac{12}{5}
\]

Thus, the slope of the line is

\[
m = \frac{12}{5}
\]