Question

exercises 13-4
answer each of the following.

1. what is the slope of the line shown?

Explanation:

Identify two points on the line

$$ (x_1, y_1) = (1, 1) $$

$$ (x_2, y_2) = (-5, -8) $$

Calculate the rise and run

$$ \text{rise} = y_1 - y_2 = 1 - (-8) = 9 $$

$$ \text{run} = x_1 - x_2 = 1 - (-5) = 6 $$

Compute the slope

$$ m = \frac{\text{rise}}{\text{run}} = \frac{9}{6} = \frac{3}{2} $$

Answer:

\(\frac{3}{2}\)