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 5 y =

Explanation:

Step1: Find the slope of the line

The line passes through points $(0,2)$ and $(4,5)$. The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So, $m=\frac{5 - 2}{4-0}=\frac{3}{4}$.

Step2: Find the y - intercept

The line passes through $(0,2)$, so the y - intercept $b = 2$.

Step3: Write the equation of the line

The slope - intercept form of a line is $y=mx + b$. Substituting $m=\frac{3}{4}$ and $b = 2$, we get $y=\frac{3}{4}x+2$.

Step4: Find the y - value for $x = 24$

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