What is the slope of a line perpendicular to the line passing through (-23, 8) and (12, -17)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: 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

Substitute:                    Subtract/Add:               Simplify:                        

Step 3: Find perpendicular slope m

Take negative:          Take reciprocal:        

And we have our final answer!

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.