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

Explanation:

Step1: Identify the two - blue points

The two blue points are $(0,9)$ and $(9,2)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(0,9)$ and $(x_2,y_2)=(9,2)$. Then $m=\frac{2 - 9}{9 - 0}=\frac{-7}{9}=-\frac{7}{9}$.

Step3: Identify the y - intercept $b$

The y - intercept is the y - value when $x = 0$. From the point $(0,9)$, we have $b = 9$.

Step4: Write the equation in slope - intercept form

The slope - intercept form of a line is $y=mx + b$. Substituting $m =-\frac{7}{9}$ and $b = 9$ into the equation, we get $y=-\frac{7}{9}x+9$.

Answer:

$y =-\frac{7}{9}x + 9$