Question

write the equation of the line in fully simplified slope - intercept form.

Explanation:

Step1: Identify two points

Choose points on the line: $(0, -3)$ and $(5, -9)$

Step2: Calculate the slope

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$
$$m=\frac{-9 - (-3)}{5 - 0}=\frac{-6}{5}$$

Step3: Identify y-intercept

The line crosses the y-axis at $(0, -3)$, so $b=-3$

Step4: Write slope-intercept form

Substitute $m$ and $b$ into $y=mx+b$

Answer:

$y=-\frac{6}{5}x - 3$