Question

1. draw a line of fit for the data. then write an equation of the line of fit.

Explanation:

Step1: Select two points on the line of fit

Let's choose two points approximately on the line. Suppose we choose $(x_1,y_1)=(0, 40)$ and $(x_2,y_2)=(40,0)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the values, we have $m=\frac{0 - 40}{40-0}=\frac{- 40}{40}=-1$.

Step3: Use the slope - intercept form $y = mx + b$

The slope - intercept form of a line is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. We know that when $x = 0$, $y=b$. From the point $(0,40)$, $b = 40$. So the equation of the line is $y=-x + 40$.

Answer:

The equation of the line of fit is $y=-x + 40$