Question

x temperature change (°f) y # of ice creams sold -3 53 -1 1 3 89 5 equation:

Explanation:

Step1: Find the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say $(-3,53)$ and $(3,89)$. Then $m=\frac{89 - 53}{3-(-3)}=\frac{36}{6}=6$.

Step2: Find the y - intercept $b$

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 $(-3,53)$ and $m = 6$.
$y-53=6(x + 3)$
$y-53=6x+18$
$y=6x + 71$

Answer:

$y = 6x+71$