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 x - value does y = 13?

Explanation:

Step1: Find the slope of the line

The line passes through points $(0,4)$ and $(12,10)$. The slope $m$ is calculated as $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{10 - 4}{12-0}=\frac{6}{12}=\frac{1}{2}$.

Step2: Find the equation of the line

The line is in the form $y=mx + b$, where $b$ is the y - intercept. Since the line passes through $(0,4)$, $b = 4$. So the equation of the line is $y=\frac{1}{2}x+4$.

Step3: Solve for $x$ when $y = 13$

Substitute $y = 13$ into the equation $y=\frac{1}{2}x + 4$. We get $13=\frac{1}{2}x+4$.
Subtract 4 from both sides: $13 - 4=\frac{1}{2}x$, so $9=\frac{1}{2}x$.
Multiply both sides by 2 to solve for $x$: $x = 18$.

Answer:

$18$