Question

question 5 of 15 (1 point) | question attempt 1 of 5
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.
rise:
run:
slope:

Explanation:

Step1: Analyze Triangle ABC

Assume coordinates: Let's say point \( A \) is \((4, 0)\), \( C \) is \((0, 0)\), and \( B \) is \((4, 16)\) (from the graph's grid).

• Rise: Vertical change from \( A \) to \( B \): \( 16 - 0 = 16 \)
• Run: Horizontal change from \( C \) to \( A \): \( 4 - 0 = 4 \)
• Slope: \( \frac{\text{Rise}}{\text{Run}} = \frac{16}{4} = 4 \)

Step2: Analyze Triangle DEF

Assume coordinates: Let's say point \( D \) is \((2, 0)\), \( F \) is \((1, 0)\), and \( E \) is \((2, 4)\) (from the graph's grid).

• Rise: Vertical change from \( D \) to \( E \): \( 4 - 0 = 4 \)
• Run: Horizontal change from \( F \) to \( D \): \( 2 - 1 = 1 \)
• Slope: \( \frac{\text{Rise}}{\text{Run}} = \frac{4}{1} = 4 \)

Answer:

Part (a) - Triangle ABC

• Rise: \( 16 \)
• Run: \( 4 \)
• Slope: \( 4 \)

Part (b) - Triangle DEF

• Rise: \( 4 \)
• Run: \( 1 \)
• Slope: \( 4 \)