W.2 Find the slope from two points

Question

VZG
Find the slope of the line that passes through (2, 16) and (9, 7).

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 \((2, 16)\) and \((9, 7)\), we can use the slope formula:

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

Here, \((x_1, y_1) = (2, 16)\) and \((x_2, y_2) = (9, 7)\).

Now, substituting the values into the formula:

\[ m = \frac{7 - 16}{9 - 2} \]

Calculating the differences:

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

Thus, the slope of the line that passes through the points \((2, 16)\) and \((9, 7)\) is

\[ \boxed{-\frac{9}{7}}. \]