Question

2 Find the slope from two points
VZG
Find the slope of the line that passes through (5, 1) and (9, 10).

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 \((x_1, y_1) = (5, 1)\) and \((x_2, y_2) = (9, 10)\), you can use the formula for the slope \( m \):

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

Substituting the values of the points into the formula:

\[
m = \frac{10 - 1}{9 - 5}
\]

Calculating the differences:

\[
m = \frac{9}{4}
\]

Thus, the slope of the line that passes through the points (5, 1) and (9, 10) is

\[
\frac{9}{4}
\]