Question

write the equation for the relationship shown in the graph.

Explanation:

Step1: Identify slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Pick 2 points on line

Use $(0,0)$ and $(2,14)$

Step3: Calculate the slope

$m = \frac{14 - 0}{2 - 0} = 7$

Step4: Find y-intercept

Line crosses y-axis at $(0,0)$, so $b=0$

Step5: Write linear equation

$y = mx + b$

Answer:

$y = 7x$