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: Identify y-intercept

The line crosses the y-axis at $(0, -5)$, so $b = -5$.

Step2: Calculate slope

Pick two points on the line: $(0, -5)$ and $(5, -4)$. Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{-4 - (-5)}{5 - 0}=\frac{1}{5}$

Step3: Substitute into slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=\frac{1}{5}$ and $b=-5$.
$y=\frac{1}{5}x - 5$

Answer:

$y=\frac{1}{5}x - 5$