Question

what is the slope of the linear relationship? (with a coordinate plane graph showing a line)

Explanation:

Step1: Identify two points on the line

We can use the y-intercept $(0, 1)$ and the x-intercept $(2, 0)$.

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)=(0,1)$ and $(x_2,y_2)=(2,0)$.
$m = \frac{0 - 1}{2 - 0}$

Step3: Calculate the slope

Simplify the numerator and denominator.
$m = \frac{-1}{2}$

Answer:

$\frac{-1}{2}$