Question

What is the slope of the line that passes through the points (-3,-2) and (2,-4)?

Answer 1

Answer:

$\displaystyle m = \frac{-2}{5}$

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

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 (-3, -2)

Point (2, -4)

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]:                                                              $\displaystyle m = \frac{-4 + 2}{2 + 3}$
2. Simplify:                                                                                                            $\displaystyle m = \frac{-2}{5}$

Answer 2

Answer:

Formula of the slope of the line

m=(y2-y1)/(x2-x1)

y2= -1, y1 = 4

x2=5, x1 = -2

m=(-1-4)/(5-(-2)) = -5/7

Answer is D. slope = -5/7

Step-by-step explanation: