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2 years ago

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

Mathematics

1 answer:

Novosadov [1.4K]2 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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fenix001 [56]

Answer:

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Step-by-step explanation:

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Let's simplify step-by-step.

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Answer:

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2 years ago

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Allisa [31]

Answer: He invested $350 at 4% and $850 at 5.9%

Step-by-step explanation:

Let x represent the amount which he invested in the account earning 4% interest.

Let y represent the amount which he invested in the account earning 5.9% interest.

Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. This means that

x + y = 1200

The formula for determining simple interest is expressed as

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Considering the account earning 4% interest,

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P = $y

T = 1 year

R = 5.9℅

I = (y × 5.9 × 1)/100 = 0.059y

At the end of 1 year, Simon earned 64.15 in interest. it means that

0.04x + 0.059y = 64.15 - - - - - - - - -1

Substituting x = 1200 - y into equation 1, it becomes

0.04(1200 - y) + 0.059y = 64.15

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