Question

write an equation of the line. the equation is \\(\square\\) (type your answer in slope-intercept form)

Explanation:

Step1: Identify slope from graph

The line rises 1 unit for every 2 units run, so slope $m=\frac{1}{2}$.

Step2: Identify y-intercept

The line crosses y-axis at $(0, -1)$, so $b=-1$.

Step3: Write slope-intercept form

Substitute $m$ and $b$ into $y=mx+b$.
$y=\frac{1}{2}x - 1$

Answer:

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