Question

Write an equation of the line in slope intercept form

Answer 1

Answer:

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

Step-by-step explanation:

find the slope of the line using $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{3-2}{3-0}$

$m=\frac{1}{3}$

slope intercept form is $y-y_1=m(x-x_1)$

use one of the given points to substitute for $x_1$ and $y_1$.

$y-2=\frac{1}{3}(x-0)$

simplify

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

add 2 to both sides

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