Question

Find the slope of the line that passes through (9, 9) and (7, 12).

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 \((9, 9)\) and \((7, 12)\), we can use the slope formula:

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

Here, we can assign the coordinates as follows:
- \((x_1, y_1) = (9, 9)\)
- \((x_2, y_2) = (7, 12)\)

Now, substituting these values into the formula:

\[
m = \frac{12 - 9}{7 - 9}
\]

Calculating the differences in the numerator and denominator:

\[
m = \frac{3}{-2}
\]

Thus, the slope \(m\) is:

\[
m = -\frac{3}{2}
\]

Therefore, the slope of the line that passes through the points \((9, 9)\) and \((7, 12)\) is \(\boxed{-\frac{3}{2}}\).