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 are approximately $(30,30)$ and $(80,80)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(30,30)$ and $(x_2,y_2)=(80,80)$ into the formula: $m=\frac{80 - 30}{80 - 30}=\frac{50}{50}=1$.

Step3: Find the y - intercept $b$

Use the slope - intercept form $y = mx + b$ and substitute $m = 1$, and one of the points, say $(30,30)$. Then $30=1\times30 + b$, which gives $b = 0$.

Answer:

$y=x$