Question

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

Explanation:

Step1: Identify two points

Choose points $(1,0)$ and $(4,4)$ from the line.

Step2: Calculate slope $m$

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{4-0}{4-1}=\frac{4}{3}$

Step3: Find y-intercept $b$

Substitute $m=\frac{4}{3}$ and $(1,0)$ into $y=mx+b$:
$0=\frac{4}{3}(1)+b$
$b=-\frac{4}{3}$

Step4: Write slope-intercept form

Combine $m$ and $b$ into $y=mx+b$

Answer:

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