W.2 Find the slope from two points

Question

VZG
Find the slope of the line that passes through (1, 10) and (7, 5).

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 \((1, 10)\) and \((7, 5)\), we use the formula for the slope \(m\):

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

Here, \((x_1, y_1) = (1, 10)\) and \((x_2, y_2) = (7, 5)\).

Substituting the coordinates into the formula:

\[ m = \frac{5 - 10}{7 - 1} = \frac{-5}{6} \]

So, the slope of the line that passes through the points \((1, 10)\) and \((7, 5)\) is

\[ \boxed{-\frac{5}{6}}. \]