use the two yellow points to write the equation in slope - intercept form. write any coefficients as…

Explanation:

Step1: Identify the two - point coordinates

Let the two yellow points be $(x_1,y_1)=(3,8)$ and $(x_2,y_2)=(7,1)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute the values: $m=\frac{1 - 8}{7 - 3}=\frac{-7}{4}=-\frac{7}{4}$.

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 $(3,8)$ and $m =-\frac{7}{4}$, we have $y-8=-\frac{7}{4}(x - 3)$. Expand it: $y-8=-\frac{7}{4}x+\frac{21}{4}$. Then $y=-\frac{7}{4}x+\frac{21}{4}+8$. Since $8=\frac{32}{4}$, $y=-\frac{7}{4}x+\frac{21 + 32}{4}=-\frac{7}{4}x+\frac{53}{4}$.

Answer:

$y =-\frac{7}{4}x+\frac{53}{4}$