Question

write an equation of the line that passes through (-6, 0) and (0, -24).
y = \square

Explanation:

Step1: Find slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-24 - 0}{0 - (-6)} = \frac{-24}{6} = -4$

Step2: Identify y-intercept

From point $(0, -24)$, $b = -24$

Step3: Write equation

Using $y = mx + b$, substitute $m=-4$ and $b=-24$: $y = -4x - 24$

Answer:

$y = -4x - 24$