Question

.2 Find the slope from two points
VZG
Find the slope of the line that passes through (6, 10) and (9, 6).

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

Answer 1

To find the slope \( m \) of the line that passes through the two points \( (x_1, y_1) = (6, 10) \) and \( (x_2, y_2) = (9, 6) \), we can use the slope formula:

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

Substituting in the values from the points:

\[
m = \frac{6 - 10}{9 - 6}
\]

Calculating the differences in the numerator and denominator:

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

Thus, the slope of the line that passes through the points (6, 10) and (9, 6) is

\[
\boxed{-\frac{4}{3}}.
\]