Question

1. write an equation for the given linear function. (2 pts. each)

x: -3, 0, 2, 6, 10
y: -13, -7, -3, 5, 13
equation: y = mx + b
(handwritten notes: +3, +2, +4, +4 for x; +6, +4, +8, +8 for y)

Explanation:

Step1: Calculate slope $m$

Use two points $(-3,-13)$ and $(0,-7)$:
$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-(-13)}{0-(-3)}=\frac{6}{3}=2$$

Step2: Identify y-intercept $b$

When $x=0$, $y=-7$, so $b=-7$.

Step3: Form linear equation

Substitute $m=2$, $b=-7$ into $y=mx+b$.

Answer:

$y=2x-7$