write the equation of this line in slope - intercept form.\nwrite your answer using integers, proper…

Explanation:

Step1: Identify two points on the line

We can see the line passes through (0, 6) and (6, 2).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(0,6)$ and $(x_2,y_2)=(6,2)$. Then $m=\frac{2 - 6}{6-0}=\frac{-4}{6}=-\frac{2}{3}$.

Step3: Identify the y - intercept $b$

The y - intercept is the y - value when $x = 0$. From the point (0, 6), $b = 6$.

Step4: Write the equation in slope - intercept form

The slope - intercept form is $y=mx + b$. Substituting $m =-\frac{2}{3}$ and $b = 6$, we get $y=-\frac{2}{3}x+6$.

Answer:

$y =-\frac{2}{3}x + 6$