Question

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

Explanation:

Step1: Identify slope formula

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

Step2: Pick two points, e.g., $(0, -6)$ and $(1, -8)$

$m = \frac{-8 - (-6)}{1 - 0} = \frac{-2}{1} = -2$

Step3: Find y-intercept $b$

From point $(0, -6)$, $b = -6$

Step4: Substitute into slope-intercept form

Slope-intercept form: $y = mx + b$

Answer:

$y = -2x - 6$