Question

Find the slope between the points (10, 2) and (4, 10) .

Answer 1

To find the slope between the two points \((10, 2)\) and \((4, 10)\), we can use the formula for the slope \(m\):

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

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

Substituting the values into the formula:

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

Calculating the differences:

\[
m = \frac{8}{-6}
\]

Simplifying the fraction:

\[
m = -\frac{4}{3}
\]

Therefore, the slope between the points \((10, 2)\) and \((4, 10)\) is \(-\frac{4}{3}\).