Answer :

Space

Answer:

[tex]m=\frac{7}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

Algebra I

  • Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
  • Slope of a perpendicular line is the negative reciprocal of the original

Step-by-step explanation:

Step 1: Define

Point (-23, 8)

Point (12, -17)

Step 2: Find slope m

  1. Substitute:                    [tex]m=\frac{-17-8}{12+23}[/tex]
  2. Subtract/Add:               [tex]m=\frac{-25}{35}[/tex]
  3. Simplify:                        [tex]m=\frac{-5}{7}[/tex]

Step 3: Find perpendicular slope m

  1. Take negative:          [tex]m=\frac{5}{7}[/tex]
  2. Take reciprocal:        [tex]m=\frac{7}{5}[/tex]

And we have our final answer!

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