Question

1. 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 $(0,1)$, so $b=1$.

Step2: Calculate slope $m$

Use two points: $(0,1)$ and $(1,5)$.
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-1}{1-0}=4$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=4$ and $b=1$.

Answer:

$y=4x+1$