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 the two - point coordinates

The two yellow points are $(4,0)$ and $(9,6)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(4,0)$ and $(x_2,y_2)=(9,6)$ into the formula: $m=\frac{6 - 0}{9 - 4}=\frac{6}{5}$.

Step3: Use the point - slope form to find the $y$ - intercept $b$

The slope - intercept form is $y=mx + b$. Use the point $(4,0)$ and $m=\frac{6}{5}$. Substitute into the equation: $0=\frac{6}{5}\times4 + b$. Then $b=-\frac{24}{5}$.

Answer:

$y=\frac{6}{5}x-\frac{24}{5}$