Question

What is the slope of a line that goes through points (-5, -7) and (-4, 1)​

Answer 1

Answer:

$\displaystyle m=8$

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

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

Step-by-step explanation:

Step 1: Define

Point (-5, -7)

Point (-4, 1)

Step 2: Find slope m

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

1. Substitute in points [SF]:                    $\displaystyle m=\frac{1+7}{-4+5}$
2. [Fraction] Add:                                    $\displaystyle m=\frac{8}{1}$
3. [Fraction] Divide:                                $\displaystyle m=8$

Answer 2

Answer:

$m = \frac{y_2 - y_ 1 }{x_2 - x_1 } = \frac{1 - ( - 7)}{ - 4 - ( - 5)} = \frac{1 + 7}{ - 4 + 5} = \frac{8}{1} =8$

8 is the slope of a line that goes through points (-5, -7) and (-4, 1)