Mr. Verloove needs to build a wheelchair access ramp for the school's auditorium. The ramp must rise a total of 3 feet to get fr
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Answer:
y - 3 = -1/2(x + 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula:
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-2, 3)
Point (6, -1)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Simplify:
<u>Step 3: Write linear equation</u>
Point-Slope Form: y - 3 = -1/2(x + 2)
"A 5-meter ladder is leaning against the wall of a house. The foot of the ladder on the ground is 1.5 meters from the wall. What angle measures does the ladder make with the wall?"
✰ Step 1 ✰: Identify what is asked in the problem.
- ❒ The angle formed by the ladder with the wall.
✰ Step 2 ✰: Use appropriate trigonometric ratio to solve the problem.
✰ Step 3 ✰: Solution and interpretation.
❒ The angle formed by the ladder with the wall is approximately 17°.