Question

What is the slope of the line that passes through the pair of points (-5/3, -1) and (-2, 9/2) ?

Answer 1

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

Answer 2

\[\LARGE \frac{9/2--1}{-2-5/2}=slope\]
\[\LARGE\bf \frac{9/2+1}{-2-5/2}=slope\]

Answer 3

5.5 / -4.5

Answer 4

\(\text{Slope} = \large \frac{y_2 - y_1}{x_2 - x_1}\)

You have the coordinates (-5/3, -1) and (-2, 9/2)

You can assign \(\frac{9}{2}\) to be \(y_2\) and \(-1\) to be \(y_1\) even though it's not a huge matter if you put either one.
Then you can have \(-2\) to be \(x_2\) and \(-\frac{5}{3}\) to be \(x_1\).

You will now have to substitute solve.

Answer 5

-5.5 / -4.5
??

Answer 6

I divide them next right?

Answer 7

I'll let @calculusxy take over i don't want to confuse you :)

Answer 8

\[\large \frac{ \frac{ 9 }{ 2 } - (-1) }{ -2 - (-\frac{ 5 }{ 3 }) } = \frac{ \frac{ 11 }{ 2 } }{ -\frac{ 1 }{ 3 } }\]

Answer 9

Im so confused...um what do I do next?

Answer 10

And then you have to divide. Remember that fractions are kind of like divisions the fraction bar indicates to divide in most circumstances.

\[\large \frac{ 11 }{ 2 } \times -\frac{ 3 }{ 1 }\]

Answer 11

Solve for that and you should be able to get your slope.

Answer 12

So I multiply 11/2 x -3/1????

Answer 13

yes

Answer 14

and what will you get?

Answer 15

um, I got 16.5

Answer 16

im soooo confused. sorry.

Answer 17

I stopped at -5.5 / -4/5

Answer 18

So we would have:
\[\large \frac{ 11 }{ 2 } \times -\frac{ 3 }{ 1 } = -\frac{ 33 }{ 2 } = -16.5\]

Answer 19

So your answer of 16.5 was partially correct, except that you had to put the negative sign in front!

Answer 20

16.5 isnt a answer choice though...

Answer 21

\(\color{#0cbb34}{\text{Originally Posted by}}\) @calculusxy
So your answer of 16.5 was partially correct, except that you had to put the negative sign in front!
\(\color{#0cbb34}{\text{End of Quote}}\)
\[\huge~\rm~-16.5\]

Answer 22

These are the answer choices: 2/33, -2/33, -33/2, and 33/2

Answer 23

-16.5 in fraction form is -33/2

Answer 24

Okay thanks.

Answer 25

\[\large \frac{ 11 }{ 2 } \times -\frac{ 3 }{ 1 } = -\frac{ 33 }{ 2 } = -16.5\]

-33/2 is part of this (shown above)

Answer 26

oh yeah, okay I see now.

Answer 27

Thanks!

Answer 28

Welcome !