Question

. write the equation of the line.
b: ____________ m: ____________
equation: ______________

Explanation:

Step1: Identify y-intercept (b)

The line crosses the y-axis at $(0, -1)$, so $b = -1$.

Step2: Calculate slope (m)

Use two points: $(-2, 0)$ and $(4, -2)$.
Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{-2 - 0}{4 - (-2)} = \frac{-2}{6} = -\frac{1}{3}$

Step3: Write line equation

Use slope-intercept form $y = mx + b$
Substitute $m = -\frac{1}{3}$ and $b = -1$

Answer:

b: $-1$
m: $-\frac{1}{3}$
Equation: $y = -\frac{1}{3}x - 1$