- #1

- 169

- 0

Slope Formula: [tex]m=\frac{y1-y2}{x1-x2}[/tex]

You can switch the terms around so that it would be y2-y1, x2-x1 right?

Also for the distance formula:

[tex]\sqrt{(x1-x2)^{2}+(y1iy2)^{2}[/tex]

Btw, the numbers are suppose to be subscripts.

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- Thread starter lLovePhysics
- Start date

- #1

- 169

- 0

Slope Formula: [tex]m=\frac{y1-y2}{x1-x2}[/tex]

You can switch the terms around so that it would be y2-y1, x2-x1 right?

Also for the distance formula:

[tex]\sqrt{(x1-x2)^{2}+(y1iy2)^{2}[/tex]

Btw, the numbers are suppose to be subscripts.

- #2

cristo

Staff Emeritus

Science Advisor

- 8,107

- 73

The reason you can swap the terms in the first equation you give is, since y1<y2 and x1<x2, swapping

In the distance formula, you are squaring the difference between x1 and x2, and y1 and y2, which will make sure the answer is always positive.

- #3

- 2,063

- 2

P.S. For subsripts, use underscore, as in x_1. [tex]x_1[/tex]

- #4

VietDao29

Homework Helper

- 1,423

- 3

Are there any communative properties of subtraction ...

Well, as others have pointed out, the answer is

3 - 2 = 1

whereas: 2 - 3 = -1.

Well, 1 and -1 are, of course, different. So, no, subtraction is

- #5

CompuChip

Science Advisor

Homework Helper

- 4,302

- 47

But you can also see that

[tex]3 - 2 = - (2 - 3)[/tex]

which you can read as shorthand for

[tex]-1 \times (2 - 3).[/tex]

Now this*does* always hold and explains why the formulas in your first post work out:

[tex]3 - 2 = - (2 - 3)[/tex]

which you can read as shorthand for

[tex]-1 \times (2 - 3).[/tex]

Now this

- What happens if you multiply numerator and denominator by the same number in a fraction?
- What happens if you square the opposite of a number (e.g. [itex]x^2 = x \times x[/itex] versus [itex](-x)^2 = (-x) \times (-x)[/itex].

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