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 - point coordinates

The two blue points are $(5,0)$ and $(7,6)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $(x_1,y_1)=(5,0)$ and $(x_2,y_2)=(7,6)$ gives $m=\frac{6 - 0}{7 - 5}=\frac{6}{2}=3$.

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

The slope - intercept form is $y=mx + b$. Using the point $(5,0)$ and $m = 3$, we substitute into the equation: $0=3\times5 + b$. Solving for $b$ gives $b=-15$.

Answer:

$y = 3x-15$