Question

complete the parts below.
(a) find the rise, run, and slope given by triangle abc.
rise:
run:
slope:
(b) find the rise, run, and slope given by triangle def.

Explanation:

Step1: Analyze Triangle ABC

First, identify coordinates of points. Let's assume B is at (10, 2), C at (11, 2), and A at (11, 6) (from graph estimation). Rise is vertical change: \( 6 - 2 = 4 \). Run is horizontal change: \( 11 - 10 = 1 \). Slope is \( \frac{\text{rise}}{\text{run}} = \frac{4}{1} = 4 \).

Step2: Analyze Triangle DEF (if needed, but focusing on part a first)

For part (a), using ABC:

• Rise: Vertical difference between A and B (or A and C, since BC is horizontal). From B (x=10, y=2) to A (x=11, y=6), rise = 6 - 2 = 4.
• Run: Horizontal difference between B and C (x=10 to x=11), run = 11 - 10 = 1.
• Slope: \( \frac{\text{rise}}{\text{run}} = \frac{4}{1} = 4 \).

Answer:

(for part a):
rise: \( 4 \), run: \( 1 \), slope: \( 4 \)