Question

what is the equation of this linear function? y = -\frac{?}{\square}x + \square

Explanation:

Step1: Identify y-intercept

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

Step2: Calculate slope

Use points $(0,1)$ and $(2,0)$. Slope $m=\frac{0-1}{2-0}=-\frac{1}{2}$.

Step3: Substitute into slope-intercept form

Slope-intercept form is $y=mx+b$, substitute $m=-\frac{1}{2}$ and $b=1$.

Answer:

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