Question

write an equation of the line below.

Explanation:

Identify points on the line

$$ (x_1, y_1) = (-2, 7),\quad (x_2, y_2) = (0, -1) $$

Calculate the slope

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 7}{0 - (-2)} = \frac{-8}{2} = -4 $$

Determine the equation in slope-intercept form

$$
LATEXBLOCK0
$$

Answer:

\(y = -4x - 1\)