Question

what is the equation of the trend - line in the scatter plot? use the two yellow 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 two points

The two yellow - colored points are approximately $(40,20)$ and $(90,70)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(40,20)$ and $(x_2,y_2)=(90,70)$. Then $m=\frac{70 - 20}{90 - 40}=\frac{50}{50}=1$.

Step3: Find the y - intercept $b$

Use the slope - intercept form $y = mx + b$ and substitute one of the points and the slope. Using the point $(40,20)$ and $m = 1$, we have $20=1\times40 + b$. Solving for $b$ gives $b=20 - 40=-20$.

Step4: Write the equation

The equation of the line in slope - intercept form is $y=x - 20$.

Answer:

$y=x - 20$