Question

find the slope of the line that contains (2,-10) and (-4,2)

Answer 1

To find the slope of the line that passes through the points \((2, -10)\) and \((-4, 2)\), you can use the slope formula:

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

Here, \((x_1, y_1) = (2, -10)\) and \((x_2, y_2) = (-4, 2)\).

Plugging in the values:

\[
m = \frac{2 - (-10)}{-4 - 2}
\]

Now calculate the differences:

\[
m = \frac{2 + 10}{-4 - 2} = \frac{12}{-6}
\]

Now simplify:

\[
m = -2
\]

So, the slope of the line that contains the points \((2, -10)\) and \((-4, 2)\) is \(-2\).