Question

what are the slope and the y-intercept of the function? enter numbers in the boxes provided. slope: \boxed{} y-intercept: \left(\boxed{}, \boxed{}\
ight)

Explanation:

Step1: Calculate slope using two points

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Using points $(-4,-3)$ and $(4,-1)$:
$m=\frac{-1-(-3)}{4-(-4)}=\frac{2}{8}=\frac{1}{4}$

Step2: Find y-intercept via slope-intercept form

Use $y=mx+b$, substitute $m=\frac{1}{4}$ and point $(4,-1)$:
$-1=\frac{1}{4}(4)+b$
$-1=1+b$
$b=-2$
The y-intercept is the point $(0, -2)$.

Answer:

slope: $\frac{1}{4}$
y-intercept: $(0, -2)$