Question

look at this graph.
write the equation for the relationship shown in the graph. start your equation with y first, followed by an equals sign. use whole numbers or fractions in simplest form.

Explanation:

Step1: Identify slope formula

Slope $m = \frac{y_2-y_1}{x_2-x_1}$. Line passes through $(0,0)$ and $(200,-100)$.

Step2: Calculate slope

$m = \frac{-100-0}{200-0} = -\frac{1}{2}$

Step3: Write line equation

Using $y=mx+b$, $b=0$, so $y = -\frac{1}{2}x$.

Answer:

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