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 the y - intercept

The line crosses the y - axis at the point $(0,1)$, so $b = 1$.

Step2: Find the slope

Pick two points on the line, say $(0,1)$ and $(2,2)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{2 - 1}{2-0}=\frac{1}{2}$.

Step3: Write the equation

The slope - intercept form is $y=mx + b$. Substituting $m=\frac{1}{2}$ and $b = 1$ gives $y=\frac{1}{2}x+1$.

Answer:

$y=\frac{1}{2}x + 1$