Question

write an equation of the line.
the equation is $y = -\frac{5}{2}x + 8$.
(type your answer in slope - intercept form.)

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, 8)$, so $b=8$.

Step2: Calculate slope

Use two points $(0,8)$ and $(2,3)$. Slope $m=\frac{3-8}{2-0}=\frac{-5}{2}$

Step3: Write slope-intercept form

Substitute $m$ and $b$ into $y=mx+b$.

Answer:

$y = -\frac{5}{2}x + 8$