Question

Determine the slope of a

Answer 1

Answer:

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: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$
• 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

1. Substitute in points [Slope Formula]:                                                              $\displaystyle m = \frac{-2-3}{1--2}$
2. [Fraction] Subtract:                                                                                           $\displaystyle m = \frac{-5}{3}$

Perpendicular line

1. Negative:                                                                                                           $\displaystyle m = \frac{5}{3}$
2. Reciprocate:                                                                                                      $\displaystyle m = \frac{3}{5}$