Question

write the equation of the line in fully simplified slope-intercept form.
answer
answer:

Explanation:

Step1: Identify y-intercept

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

Step2: Calculate slope using two points

Use points $(0,8)$ and $(1,2)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{2-8}{1-0}=\frac{-6}{1}=-6$

Step3: Substitute into slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=-6$, $b=8$.
$y=-6x+8$

Answer:

$y=-6x+8$