Question

find an equation of the line graphed. write the equation in standard form.
the equation is □
(type your answer in standard form. simplify your answer.)

Explanation:

Step1: Identify two points

From the graph, pick points $(4,4)$ and $(0,8)$.

Step2: Calculate the slope

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{8-4}{0-4}=\frac{4}{-4}=-1$

Step3: Find slope-intercept form

Use $y=mx+b$, $b=8$ (y-intercept)
$y=-x+8$

Step4: Convert to standard form

Rearrange to $Ax+By=C$
$x+y=8$

Answer:

$x+y=8$