Question

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write the equation of the line in fully simplified slope-intercept form.

Explanation:

Step1: Identify two points

We can pick two clear points on the line: $(0, -1)$ (the y-intercept) and $(5, 0)$.

Step2: Calculate the slope

Use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{0-(-1)}{5-0}=\frac{1}{5}$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$, where $b$ is the y-intercept ($b=-1$).
Substitute $m$ and $b$: $y=\frac{1}{5}x - 1$

Answer:

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