Question

Find the slope of the line that passes through (1, 7) and (8, 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 (8, 10) and (3, 8).

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 \( (x_1, y_1) = (1, 7) \) and \( (x_2, y_2) = (8, 9) \), we use the slope formula:

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

Substituting in the coordinates of the points:

\[
m = \frac{9 - 7}{8 - 1}
\]

Calculating the differences:

\[
m = \frac{2}{7}
\]

The slope of the line that passes through the points \( (1, 7) \) and \( (8, 9) \) is:

\[
\boxed{\frac{2}{7}}
\]

Answer 3

To find the slope \( m \) of the line that passes through the points \( (x_1, y_1) = (8, 10) \) and \( (x_2, y_2) = (3, 8) \), we use the slope formula:

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

Substituting in the coordinates of the points:

\[
m = \frac{8 - 10}{3 - 8}
\]

Calculating the differences:

\[
m = \frac{-2}{-5}
\]

Simplifying the fraction:

\[
m = \frac{2}{5}
\]

Thus, the slope of the line that passes through the points \( (8, 10) \) and \( (3, 8) \) is:

\[
\boxed{\frac{2}{5}}
\]