Question

for the linear function f, f(-3)=13 and f(4)= -22. complete function f below in slope intercept form: remember: f(x)=y f(x)= type your answer... x+ type your answer...

Explanation:

Step1: Calculate the slope

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-3,y_1 = 13,x_2 = 4,y_2=-22$. So $m=\frac{-22 - 13}{4-(-3)}=\frac{-35}{7}=-5$.

Step2: Find the y - intercept

Use the point - slope form $y - y_1=m(x - x_1)$ and then convert to slope - intercept form $y=mx + b$. Let's use the point $(-3,13)$ and $m=-5$. Substitute into $y - y_1=m(x - x_1)$: $y-13=-5(x + 3)$. Expand: $y-13=-5x-15$. Add 13 to both sides: $y=-5x-2$.

Answer:

$f(x)=-5x - 2$