What is the slope of the line that passes through points (6, − 2) and (21, 3) ?

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

6 0

Answer:

$m=\frac{1}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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

Step-by-step explanation:

Step 1: Define

Point (6, -2)

Point (21, 3)

Step 2: Find slope m

Substitute: $m=\frac{3+2}{21-6}$
Add/Subtract: $m=\frac{5}{15}$
Simplify: $m=\frac{1}{3}$

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$|7+8x|>5\implies 7+8x>5 \implies 8x>-2 \implies x>-\dfrac14$