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3 years ago

Is every linear relationship a direct variation. Explain please

1 answer:

3 0

Direct variation: y=kx where k is some number thats not 0

that means if x is 2, y is 2k. if x is 1, y is k. if x is 0, y is 0.

notice: no matter what k is, when you put 0 in for x, y will always be 0. that means that a direct variation always goes through the origin, a.k.a. (0,0).

do all lines go through the origin? nah. a line is y=mx+b, where m and b are some numbers. a line is only a direct variation if b is 0. this makes sense because if b is 0, then the y-intercept is 0, so the line goes through the origin.

in conclusion, no, not all linear relationships are direct varations, but all direct variations are linear relationships.

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What is the slope of the line?

Talja [164]

Answer:

$\displaystyle m=1$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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

Find points from graph.

Point (-1, 0)

Point (0, 1)

Step 2: Find slope m

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

Substitute in points [SF]: $\displaystyle m=\frac{1-0}{0--1}$
[Fraction] Simplify: $\displaystyle m=\frac{1-0}{0+1}$
[Fraction] Subtract/Add: $\displaystyle m=\frac{1}{1}$
[Fraction] Divide: $\displaystyle m=1$

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2 years ago

What is the value of m, when 2⁶ x 4 = 418

yaroslaw [1]

Answer:

The answer should be 3.3/4

Step-by-step explanation:

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2 years ago

Is the distance around a circle . You calculate the of a circle by multiplying the diameter by 3.14

anzhelika [568]

Distance around a circle is CIRCUMFERENCE
DIAMETER*PI=CIRCUMFERENCE

7 0

3 years ago

Barbara is making candy bags with her birthday party she has 24 lollipops, 12 candy bars, and 42 pieces of gum she wants each ba

Arisa [49]

She can make about 5 bags and there will be 4 lollipops, 2 candy bars, and 7 pieces of gum in each bag.

So this is how to solve it:
Basically what you’re doing here is called finding the gcf, or greatest common factor. What you have to do is find what number can divide by 24, 12, and 42; so I chose 2.
After dividing all these numbers by two you get 12, 6, and 21.
3 can divide by all these numbers
After dividing by three you get 4(lollipops), 2(candy bars) and 7(pieces of gum)
Since you can not divide by one number for all of these numbers, 4, 2 and 7 are your final answers.

To find how many’s bags you can make, the answer is 5 since you divided by 2 and 3 and you add them together.

I hope I explained this well! Good luck :D

3 0

3 years ago

What is the distance between (-6,2) and (8,10) on a coordinate grid

r-ruslan [8.4K]

Answer: 14 right and 8 up, or (14, 8)

Step-by-step explanation:

To find the distance, you can subtract or add numbers.

So from (-6, 2) to 0, I have to move right 6 spaces to get (0, 2).

Then, I must move 8 to the right to get (8, 2).

From here, I continue to move up 8 since we want to get to (8,10). So in all, you should move 14 spaces to the right and 8 up (14, 8).

5 0

3 years ago