Question

Find the slope of the line that passes through (9, 4) and (2, 6). 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 \((9, 4)\) and \((2, 6)\), we can use the formula for the slope \(m\) given by:

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

In this case, let \((x_1, y_1) = (9, 4)\) and \((x_2, y_2) = (2, 6)\).

Now we can substitute the points into the formula:

\[
m = \frac{6 - 4}{2 - 9}
\]

Calculating the values in the numerator and the denominator:

\[
m = \frac{2}{2 - 9} = \frac{2}{-7} = -\frac{2}{7}
\]

Thus, the slope of the line that passes through the points \((9, 4)\) and \((2, 6)\) is

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