Question

write the equation for the relationship shown in the graph.

Explanation:

Step1: Identify intercept points

The line crosses the x-axis at $(9, 0)$ and we can find another point, e.g., $(19, 12)$.

Step2: Calculate the slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{19 - 9} = \frac{12}{10} = \frac{6}{5}$

Step3: Use point-slope form

Use $(x_1,y_1)=(9,0)$: $y - 0 = \frac{6}{5}(x - 9)$

Step4: Simplify to slope-intercept form

$y = \frac{6}{5}x - \frac{54}{5}$

Answer:

$y = \frac{6}{5}x - \frac{54}{5}$