Question

use the two points to find the slope of this line.
$m = -\frac{?}{\quad}$
remember: slope $= \frac{\text{rise}}{\text{run}}$

Explanation:

Step1: Identify the two points

From the graph, the two points are \((0, 2)\) and \((3, 0)\).

Step2: Calculate the rise and run

Rise is the change in \(y\)-values: \(0 - 2=- 2\)
Run is the change in \(x\)-values: \(3 - 0 = 3\)

Step3: Find the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-2}{3}=-\frac{2}{3}\)
So the numerator of the fraction in the given expression \(m =-\frac{?}{?}\) is \(2\) (since we take the absolute value of the rise for the numerator in the given form, considering the negative sign outside).

Answer:

2