Question

write the equation of this line in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify y-intercept (b)

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

Step2: Calculate slope (m)

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

Step3: Write slope-intercept equation

Slope-intercept form: $y = mx + b$
Substitute $m=1$ and $b=4$.

Answer:

$y = x + 4$