Question

What is the slope of the line shown below?

(Line: (-7, 2) to (4, 6))

Answer 1

To find the slope of the line that passes through the points \((-7, 2)\) and \((4, 6)\), you can use the formula for the slope \(m\):

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

Here, \((x_1, y_1) = (-7, 2)\) and \((x_2, y_2) = (4, 6)\). Plugging in the values, we get:

\[
m = \frac{6 - 2}{4 - (-7)} = \frac{4}{4 + 7} = \frac{4}{11}
\]

Therefore, the slope of the line is

\[
\boxed{\frac{4}{11}}.
\]