Question

Find the slope of the line that passes through (10, 7) and (6, 2).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope of the line that passes through the points \((10, 7)\) and \((6, 2)\), we use the formula for the slope \(m\):

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

Assigning the coordinates:
- \( (x_1, y_1) = (10, 7) \)
- \( (x_2, y_2) = (6, 2) \)

We can substitute these values into the formula:

\[
m = \frac{2 - 7}{6 - 10}
\]

Calculating the numerator and the denominator:

\[
m = \frac{-5}{-4}
\]

Simplifying this fraction:

\[
m = \frac{5}{4}
\]

Therefore, the slope of the line that passes through the points \((10, 7)\) and \((6, 2)\) is

\[
\boxed{\frac{5}{4}}.
\]