Question

What is the slope of the line that goes though (6, 5) and (3, 1)?

1. 3/4
2. -3/4
3. 4/3
4. -4/3

Answer 1

You will want to use the slope formula which is y2-y1/x2-x1

Answer 2

to get slope you do y2-y1/ x2-x1 .. you would do (5-1)/(6-3) which is 4/3

Answer 3

So when plugged in your equation will read:
1-5/3-6

Answer 4

Ok

Answer 5

The slope of a line calculated from tbhe coordinates of two points on the line is:

\(\bf slope = \dfrac{\bf difference~~ in~~ y}{\bf difference~~in~~x} \)

Answer 6

Calculate the difference in the y-values.
Calculate the difference in the x-values.
Divide the first difference by the second difference.

Answer 7

You must make sure you calculate both differences the same way.

That means, if the points are
(a, b) and (c, d)

and you decide to do the difference in y as d - b, then the difference in x must be in the same order, and it has to be c - a.
If you want to do the difference in y as b - d, then the difference in x must be a - b.

Answer 8

Let's do an example.

Answer 9

I think B is the answer.

Answer 10

Slope of line through points: (4, 3) and (2, 6)

diff in y = 6 - 3 = 3
diff in x = 2 - 4 = -2

slope = (diff in y)/(diff in x) = 3/(-2) = -3/2

Answer 11

Now your problem.

What is the difference in y? 5 - 1 = 4
What is the difference in x? 6 - 3 = 3

slope = (diff in y)/(diff in x) = 4/3

Which choice is that?

Answer 12

B

Answer 13

I mean C

Answer 14

Isn't B -3/4?

Answer 15

Oh, ok, that's better.

Answer 16

Answer is C.