Answer :
Answer:
m = 3/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Algebra I
- Coordinates (x, y)
- Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]
- Perpendicular lines are the negative reciprocal of the given line
Step-by-step explanation:
Step 1: Define
Identify
Point G(-2, 3)
Point H(1, -2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Line GH
- Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-2-3}{1--2}[/tex]
- [Fraction] Subtract: [tex]\displaystyle m = \frac{-5}{3}[/tex]
Perpendicular line
- Negative: [tex]\displaystyle m = \frac{5}{3}[/tex]
- Reciprocate: [tex]\displaystyle m = \frac{3}{5}[/tex]