Question

write an equation in slope-intercept form from the points (0, 3) and (-4, -1)
y = x + 3
y = x - 3
y = 3x + 1
y = x + 1

Explanation:

Step1: Calculate the slope

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
Let $(x_1,y_1)=(0,3)$ and $(x_2,y_2)=(-4,-1)$
$m=\frac{-1-3}{-4-0}=\frac{-4}{-4}=1$

Step2: Identify y-intercept

The point $(0,3)$ is the y-intercept, so $b=3$.

Step3: Write slope-intercept equation

Slope-intercept form: $y=mx+b$
Substitute $m=1$ and $b=3$: $y=1x+3=x+3$

Answer:

A. $y = x + 3$