Question

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

Explanation:

Step1: Identify two points

We can pick two clear points on the line: $(-9, 0)$ and $(0, -6)$.

Step2: Calculate the slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{-6 - 0}{0 - (-9)} = \frac{-6}{9} = -\frac{2}{3}$

Step3: Find y-intercept

The line crosses the y-axis at $(0, -6)$, so $b = -6$.

Step4: Write slope-intercept form

Slope-intercept form is $y = mx + b$
$y = -\frac{2}{3}x - 6$

Answer:

$y = -\frac{2}{3}x - 6$