Question

carlos plays an arcade game. the scatter plot shows his score and the number of minutes he plays.
a good line of fit is drawn through the points (6, 50) and (12, 80).
$m = 5$
what is the $y$-intercept of the line of fit?
$b = \square$
arcade game
score
time of play

Explanation:

Step1: Recall slope-intercept form

The slope-intercept equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Substitute known values

We know $m=5$, and the line passes through $(6, 50)$. Substitute $x=6$, $y=50$, $m=5$ into the equation:
$50 = 5(6) + b$

Step3: Solve for $b$

First calculate $5(6)=30$, then rearrange to isolate $b$:
$b = 50 - 30$
$b = 20$

Answer:

$20$