Question

write an equation of the line in slope - intercept form.
(0, 2)
(3, 3)
y = \frac{1}{3}+2
previous
previous

Explanation:

Step1: Find the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Given points $(x_1,y_1)=(0,2)$ and $(x_2,y_2)=(3,3)$. Then $m=\frac{3 - 2}{3-0}=\frac{1}{3}$.

Step2: Identify the y - intercept

The y - intercept $b$ is the y - value when $x = 0$. From the point $(0,2)$, $b = 2$.

Step3: Write the equation

The slope - intercept form of a line is $y=mx + b$. Substituting $m=\frac{1}{3}$ and $b = 2$ gives $y=\frac{1}{3}x+2$.

Answer:

$y=\frac{1}{3}x + 2$