the scatterplot shows the relationship between two variables, x and y. a line of best fit for the data is…

Explanation:

Step1: Identify two points on line

Choose two points on the line of best - fit, say $(24,10)$ and $(34,0)$.

Step2: Calculate slope

The slope $m$ of the line using the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$ is $m=\frac{0 - 10}{34 - 24}=\frac{- 10}{10}=-1$.

Step3: Find y - intercept

Using the point - slope form $y - y_1=m(x - x_1)$ with the point $(34,0)$ and $m=-1$, we get $y-0=-1(x - 34)$, so the equation of the line is $y=-x + 34$.

Step4: Predict y - value

Substitute $x = 32$ into the equation $y=-x + 34$. Then $y=-32 + 34=2$. The value closest to 2 among the options is 2.4.

Answer:

C. 2.4