Question

use the two points to find the slope of this line. m = - ?/ remember: slope = rise/run

Explanation:

Step1: Identify two points

The two points on the line are \((0, 2)\) (where the line crosses the y - axis) and \((3, 0)\) (where the line crosses the x - axis).

Step2: Calculate rise and run

Rise is the change in \(y\) - coordinates: \(y_2 - y_1=0 - 2=- 2\).
Run is the change in \(x\) - coordinates: \(x_2 - x_1 = 3-0 = 3\).
Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-2}{3}=-\frac{2}{3}\). So the numerator (the? part) is 2 and the denominator is 3.

Answer:

The value in the numerator (the? part) is 2 and the denominator is 3. So the fraction is \(\frac{2}{3}\), and the slope \(m =-\frac{2}{3}\). If we are only looking at the numerator of the fraction after the negative sign, the answer for the? is 2.