Questions: Find the slope of the line passing through the two points. Express numbers in exact form. (6,0),(9,-8) The slope of the line is .

Solution Steps

To find the slope of the line passing through two points, we use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

The two points given are \((6, 0)\) and \((9, -8)\).

Using the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \), we substitute the coordinates: \[ m = \frac{-8 - 0}{9 - 6} \]

Calculating the numerator and denominator: \[ m = \frac{-8}{3} \]

Final Answer