Question

What is the slope of the line that passes through the points (3, 1) and (–2, 5)?

A. 5/4

B. -5/4

C. -4/5

D. 4/5

I am pretty sure it is A right @pooja195 and @TheSmartOne

Answer 1

Thanks!

Answer 2

It's not A.

Answer 3

The points are (3, 1) and (-2, 5).
What are the y-coordinates?

Answer 4

Wrong :P

Answer 5

\(\sf\Large Slope = \frac{\color{blue}{y_2}-\color{red}{y_1}}{\color{green}{x_2}-\color{purple}{x_1}}\)

Where the two points are in the form:

\(\sf\Large (\color{purple}{x_1},\color{red}{y_1})~and~(\color{green}{x_2},\color{blue}{y_2})\)

Answer 6

@Abbster2015
Let's do this correctly.
Can you name the two y-coordinates of the given points?

Answer 7

Here's a hint:
The x-coordinates are in red, and the y-coordinates are in green.

\(\large (\color{red}{x}, \color{green}{y})\)

\(\large (\color{red}{3}, \color{green}{1})\)

\(\large (\color{red}{-2}, \color{green}{5})\)

Answer 8

I trust pooja because the slope formula is \[m = y2 - y1/x2 - x1\]

Answer 9

Both The SmartOne and I have written that A is incorrect.

Answer 10

correct, that is the formula

but what are the x-ccoordinates and the y-coordinates?

because your answer is wrong :P

Answer 11

Pooja removed all her responses.

Answer 12

Therefore the equation would be m= 3 + 2/5-1 so that would equal 5/4

Answer 13

Let's do it together step by step and we'll find out what the correct answer is.

Answer 14

Okay, I trust you guys.

Answer 15

you're putting the x-coordinates on top, when they are at the bottom in the formula

Answer 16

the slope formula is \[\frac{ y_1-y_2 }{ x_1-x_2 }~~or~~\frac{ y_2-y_1 }{ x_2-x_1 }\]

Answer 17

Okay.. so the x coordinates would be 5, 1?

Answer 18

The y-coordinates are 1 and 5.
In the same order, the x-coordinates are 3 and -2.
We subtract the y-coordinates and the x-coordinates in the same order.

\(\large m = \dfrac{5 - 1}{-2 - 3} \)

@Abbster2015 Do you follwo so far?

Answer 19

\(\sf\Large Slope = \frac{\color{blue}{y_2}-\color{red}{y_1}}{\color{green}{x_2}-\color{purple}{x_1}}\)

Where the two points are in the form:

\(\sf\Large (\color{purple}{3},\color{red}{1})~and~(\color{green}{-2},\color{blue}{5})\)

Answer 20

no

Answer 21

5 and 1 are y coordinates

Answer 22

The ***y-coordinates*** are 5 and 1.

Answer 23

Yes I do, so that would equal 4/-5? Or -4/5

Answer 24

The x-coordinates are -2 and 3.

Answer 25

Now that is correct! @Abbster2015 :)

Answer 26

\(\large m = \dfrac{5 - 1}{-2 - 3} = \dfrac{4}{-5} = -\dfrac{4}{5} \)

Answer 27

As you can see, the answer is C, not A.

Answer 28

So it would be C? Awesome thanks! WOuld you guys mind helping me with a few more? I don't mean to ask but this assissment is REALLY important. Like college type important.

Answer 29

Sure :)

Answer 30

Basiclly this is going to tell which college I go to *wipes sweat off forehead*

Answer 31

Awesome I am going to open a new one.

Answer 32

Remember that the slope is the difference in y divided by the difference in x.
Also, remember that in an ordered pair, we list the x-coordinate before the y-coordinate.
This is easy to remember, because an ordered pair is (x, y), where x and y are in alphabetical order.

Answer 33

One last thing. You must find the difference in x and the difference in y using the coordinates in the same order.