Question

write an equation for the line passing through points (0, 0), (4, 5), and (8, 10).
enter a correct equation in the box.

Explanation:

Step1: Calculate slope (m)

Use points $(0,0)$ and $(4,5)$:
$$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 0}{4 - 0} = \frac{5}{4}$$

Step2: Identify y-intercept (b)

Line passes through $(0,0)$, so $b=0$.

Step3: Write line equation

Use slope-intercept form $y=mx+b$:
$$y = \frac{5}{4}x$$

Answer:

$y = \frac{5}{4}x$