Question

write an equation of the line in slope - intercept form.
(0,3)
(4,2)
$y = -\frac{1}{4}x + 3$

Explanation:

Step1: Find the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using points $(0,3)$ and $(4,2)$, we have $m=\frac{2 - 3}{4 - 0}=\frac{-1}{4}=-\frac{1}{4}$.

Step2: Identify the y - intercept

The line crosses the y - axis at $(0,3)$, so the y - intercept $b = 3$.

Step3: Write the equation

The slope - intercept form is $y=mx + b$. Substituting $m =-\frac{1}{4}$ and $b = 3$, we get $y=-\frac{1}{4}x+3$.

Answer:

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