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 $y = 3$, so $b=3$.

Step2: Find the slope

Pick two points, say $(-8,4)$ and $(8,2)$. Use the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Then $m=\frac{2 - 4}{8-(-8)}=\frac{-2}{16}=-\frac{1}{8}$.

Step3: Write the equation

The slope - intercept form is $y = mx + b$. Substitute $m =-\frac{1}{8}$ and $b = 3$ into it, getting $y=-\frac{1}{8}x + 3$.

Answer:

$y=-\frac{1}{8}x + 3$