Question

write the equation of the line in slope-intercept form.
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0,7)$, so $b=7$.

Step2: Calculate slope $m$

Use two points $(0,7)$ and $(8,1)$.
$$m=\frac{1-7}{8-0}=\frac{-6}{8}=-\frac{3}{4}$$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=-\frac{3}{4}$ and $b=7$.
$$y=-\frac{3}{4}x+7$$

Answer:

$y=-\frac{3}{4}x+7$