Question

Find the slope of the line that passes through (6, 8) and (10, 9).

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

Answer 1

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

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

Answer 2

To find the slope \( m \) of the line that passes through the points \((x_1, y_1) = (6, 8)\) and \((x_2, y_2) = (10, 9)\), we use the slope formula:

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

Plugging in the coordinates of the points:

\[
m = \frac{9 - 8}{10 - 6}
\]

Calculating the differences in the numerator and denominator:

\[
m = \frac{1}{4}
\]

Thus, the slope of the line is

\[
\boxed{\frac{1}{4}}
\]

Answer 3

To find the slope \( m \) of the line that passes through the points \((x_1, y_1) = (7, 7)\) and \((x_2, y_2) = (10, 6)\), we use the slope formula:

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

Substituting in the coordinates of the points:

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

Calculating the differences in the numerator and denominator:

\[
m = \frac{-1}{3}
\]

Thus, the slope of the line is

\[
\boxed{-\frac{1}{3}}
\]