Question

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

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Using points $(0,3)$ and $(-4,-1)$:
$m=\frac{-1-3}{-4-0}=\frac{-4}{-4}=1$

Step2: Identify y-intercept

The y-intercept $b$ is the y-value when $x=0$. From point $(0,3)$, $b=3$.

Step3: Write slope-intercept form

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

Answer:

A. $y = x + 3$