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3 years ago

Find the slope and the y-intercept of the line.

Mathematics

1 answer:

Allushta [10]3 years ago

5 0

Answer:

Slope m = -5/4

y-intercept b = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

[Standard Form] -5x - 4y = -12

Step 2: Rewrite

Add 5x to both sides: -4y = 5x - 12
Divide -4 on both sides: y = -5/4x + 3

Step 3: Identify

Break apart the function.

Slope m = -5/4

y-intercept b = 3

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3 years ago

Dollar is worth three and 3 1/2 kruneros. What is the value of 43 3/4 kruneros?

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Question:

One dollar is worth 3 1/2 kruneros. What is the value of 43 3/4 kruneros?

Answer:

The value of $43\frac{3}{4}$ kruneros is 12.5 dollars

Solution:

Given that,

Dollar is worth three and 3 1/2 kruneros

Which means,

$1 \text{ dollar } = 3\frac{1}{2} \text{ kruneros }\\\\1 \text{ dollar } = 3.5 \text{ kruneros }$

We have to find the value of $43\frac{3}{4}$ kruneros

Let us convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

$43\frac{3}{4} = \frac{43 \times 4 + 3}{4} = \frac{175}{4} = 43.75$

So we have to find the value of 43.75 kruneros

Let "x" be the value of 43.75 kruneros

Then,

1 dollar = 3.5 kruneros

x dollar = 43.75 kruneros

This forms a proportion and we can solve the sum by cross multiply

$1 \times 43.75 = x \times 3.5\\\\x = \frac{43.75}{3.5}\\\\x = 12.5$

Thus value of $43\frac{3}{4}$ kruneros is 12.5 dollars

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