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

Let's take two points on the line of fit, say $(x_1,y_1)=(10,30)$ and $(x_2,y_2)=(30,10)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So, $m=\frac{10 - 30}{30 - 10}=\frac{- 20}{20}=-1$.

Step3: Use the point - slope form $y - y_1=m(x - x_1)$

Using the point $(x_1,y_1)=(10,30)$ and $m = - 1$, we have $y-30=-1(x - 10)$.

Step4: Simplify the equation

$y-30=-x + 10$, then $y=-x+40$.

Answer:

$y=-x + 40$