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 on line

Use $(0, -4)$ and $(3, -6)$

Step3: Calculate the slope

$m = \frac{-6 - (-4)}{3 - 0} = \frac{-2}{3}$

Step4: Identify y-intercept

The line crosses y-axis at $(0, -4)$, so $b = -4$

Step5: Write slope-intercept form

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

Answer:

$y = -\frac{2}{3}x - 4$