Question

question
a line of best fit was drawn to the plotted points in a data set below.
based on the line of best fit, for what y - value does $x = 24$?
answer attempt 1 out of 2
$y=$

Explanation:

Step1: Find the slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's use the points $(0,2)$ and $(4,5)$. So $m=\frac{5 - 2}{4-0}=\frac{3}{4}$.

Step2: Find the y - intercept

The equation of a line in slope - intercept form is $y=mx + b$, where $b$ is the y - intercept. Since the line passes through $(0,2)$, when $x = 0$, $y=2$, so $b = 2$.

Step3: Write the equation of the line

The equation of the line of best fit is $y=\frac{3}{4}x+2$.

Step4: Substitute $x = 24$

Substitute $x = 24$ into the equation $y=\frac{3}{4}\times24+2$. First, $\frac{3}{4}\times24=18$, then $y=18 + 2=20$.

Answer:

$20$