Question

Find the slope of the line that passes through (1, 3) and (9, 10). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope of a line that passes through the points \((x_1, y_1) = (1, 3)\) and \((x_2, y_2) = (9, 10)\), we use the slope formula:

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

Substituting the coordinates of the points into the formula:

\[
m = \frac{10 - 3}{9 - 1}
\]

Calculating the differences in the numerator and denominator:

\[
m = \frac{7}{8}
\]

Thus, the slope of the line that passes through the points \((1, 3)\) and \((9, 10)\) is:

\[
\boxed{\frac{7}{8}}
\]