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 y-intercept

The line crosses the y-axis at $(0, 5)$, so $b=5$.

Step2: Calculate slope

Use two points $(0,5)$ and $(1,7)$. Slope $m=\frac{y_2-y_1}{x_2-x_1}=\frac{7-5}{1-0}=2$.

Step3: Substitute into slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=2$ and $b=5$.
$y=2x+5$

Answer:

$y=2x+5$