Question

what is the equation of the trend line in the scatter plot? use the two blue points to write the equation in slope - intercept form. write any coefficients as integers, proper fractions, or improper fractions in simplest form.

Explanation:

Step1: Identify the two - blue points

The two blue points seem to be approximately $(30,30)$ and $(80,80)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $(x_1,y_1)=(30,30)$ and $(x_2,y_2)=(80,80)$ gives $m=\frac{80 - 30}{80 - 30}=1$.

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

Substitute $m = 1$, $x = 30$, and $y = 30$ into $y=mx + b$. We get $30=1\times30 + b$, which simplifies to $b = 0$.

Answer:

$y=x$