Question

Determine the slope of a

line that is perpendicular
the line through G(-2,3)
and H(1, -2)

Answer 1

m = 3/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Coordinates (x, y)
• Slope Formula:
  `\displaystyle m = (y_2-y_1)/(x_2-x_1)`
• Perpendicular lines are the negative reciprocal of the given line

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

1. Substitute in points [Slope Formula]:
   `\displaystyle m = (-2-3)/(1--2)`
2. [Fraction] Subtract:
   `\displaystyle m = (-5)/(3)`

Perpendicular line

1. Negative:
   `\displaystyle m = (5)/(3)`
2. Reciprocate:
   `\displaystyle m = (3)/(5)`