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 approximately $(4,0)$ and $(9,7)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(4,0)$ and $(x_2,y_2)=(9,7)$. Then $m=\frac{7 - 0}{9 - 4}=\frac{7}{5}$.

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

The point - slope form is $y - y_1=m(x - x_1)$. Using the point $(4,0)$ and $m = \frac{7}{5}$, we have $y-0=\frac{7}{5}(x - 4)$. Expanding gives $y=\frac{7}{5}x-\frac{28}{5}$. In slope - intercept form $y = mx + b$, the y - intercept $b=-\frac{28}{5}$.

Answer:

$y=\frac{7}{5}x-\frac{28}{5}$