Question

How do I find slope of 2 coordinates?
Helpl me plz! I have no direct question. I just want to see an example please.

Answer 1

\[slope=\dfrac{y_2-y_1}{x_2-x_1}\]

Answer 2

If you have two points, (x1, y1) and (x2, y2) (order doesn't matter)

\[ m = \frac{y_2-y_1}{x_2-x_1}\]

where m is the slope.

Proof that order doesn't matter:

\[ m = \frac{y_2-y_1}{x_2-x_1} = \frac{-1}{-1} * \frac{(y_2-y_1)}{(x_2-x_1)} = \frac{y_1 - y_2}{x_1 - x_2}\]

You do have to be consistent that you use the same order in the numerator and denominator, however!

Answer 3

So say if I input (3,4) and (6,2)
4-2
--- = 2/-3
3-6
So is 2/-3 the slope?
btw how did you do the fancy writing.

Answer 4

Is my slope correct guys?

Answer 5

yes

Answer 6

right :)

Answer 7

Yes, that's the correct slope. It's negative, because as you go to the right on the x-axis, the y-value decreases. It's < 1 in magnitude, because if you move 1 unit on the x-axis, the change in the y-axis is less than 1 unit.

Answer 8

okay thx guys!

Answer 9

slope = 1 -> line goes up to the right at a 45 degree angle
slope = -1 -> line goes up to the left at a 45 degree angle, and the two lines drawn together (slope 1 and -1) are perpendicular and make a nice symmetrical X

Answer 10

(indeed, the way to find a line perpendicular to another is to find the slope of the known line, then find another slope such that the product of the two is -1)

Answer 11

Your line has a slope of -2/3, so the perpendicular line would be -1/(-2/3) = 3/2.