Question

PLEASE HELP ME WITH THIS MATH QUESTION: A line contains the points (34, 12) and (32, 48).

What is the slope of the line in simplified form?

Answer 1

Answer:

$\displaystyle m = -18$

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

Coordinate Planes

• Coordinates (x, y)

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

Step-by-step explanation:

Step 1: Define

Identify

Point (34, 12)

Point (32, 48)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

1. Substitute in points [Slope Formula]:                                                              $\displaystyle m = \frac{48 - 12}{32 - 34}$
2. Simplify:                                                                                                             $\displaystyle m = -18$

Answer 2

Answer:

The slope of the line is -18

Step-by-step explanation:

$\textbf{Use Slope Formula:}$ $m=\frac{y_2-y_2}{x_2-x_1}$

m= slope

$\textbf{points}: (34, 12)\:and\: (32, 48).$

Plugin the points into the formula:

$m=\frac{48-12}{32-34}$

Subtract 48-12=36:

$m=\frac{36}{32-34}$

Subtract 32-34=-2

$m=\frac{36}{-2}$

Apply fraction rule: $\frac{a}{-b}=-\frac{a}{b}$

$m=-\frac{36}{2}$

Divide 36 ÷ 2 = 18

$m=-18$