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

Step2: Calculate slope

Use two points $(0,1)$ and $(4,4)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{4-1}{4-0}=\frac{3}{4}$

Step3: Write slope-intercept form

Slope-intercept form: $y=mx+b$
Substitute $m=\frac{3}{4}$ and $b=1$.

Answer:

$y=\frac{3}{4}x+1$