Find the slope from two points

Question

VZG
You have prizes to reveal!
Go to your game board.

Find the slope of the line that passes through (6, 6) and (9, 5).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope \( m \) of the line that passes through the two points \((6, 6)\) and \((9, 5)\), we use the formula for the slope:

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

Here, \((x_1, y_1) = (6, 6)\) and \((x_2, y_2) = (9, 5)\).

Now, substituting the coordinates into the slope formula:

\[ m = \frac{5 - 6}{9 - 6} = \frac{-1}{3} \]

Thus, the slope of the line that passes through the points \((6, 6)\) and \((9, 5)\) is

\[ \boxed{-\frac{1}{3}}. \]