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: Find y-intercept

The line crosses y-axis at $(0,6)$, so $b=6$.

Step2: Calculate slope

Take two points $(0,6)$ and $(-1,2)$. Slope $m=\frac{2-6}{-1-0}=4$.

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$, substitute $m=4$ and $b=6$.
$y=4x+6$

Answer:

$y = 4x + 6$