Question

write an equation for the line in slope - intercept form. (use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Identify two points on the line

Let's take two points from the graph, say $(0, 8)$ and $(4,0)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $(x_1,y_1)=(0,8)$ and $(x_2,y_2)=(4,0)$, we get $m=\frac{0 - 8}{4-0}=\frac{-8}{4}=- 2$.

Step3: Identify the y - intercept $b$

The y - intercept is the y - coordinate of the point where the line crosses the y - axis. From the point $(0,8)$, $b = 8$.

Step4: Write the equation in slope - intercept form

The slope - intercept form of a line is $y=mx + b$. Substituting $m=-2$ and $b = 8$, we get $y=-2x + 8$.

Answer:

$y=-2x + 8$