Question

I need help i will give them 100 points.

Answer 1

the last one because the y is negative

Answer 2

Hello!

∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘

Slope Formula:

`\bold{\displaystyle(y_2-y_1)/(x_2-x_1)}`

Where

`\bold{y_2}` is the y-coordinate of the second point

`\bold{y_1}` is the y-coordinate of the first point

`\bold{x_2}` is the x-coordinate of the second point

`\bold{x_1}` is the x-coordinate of the first point

Check the First example:

`\bf{y_2}` = 6

`\bf{y_1}`= -2

`\bf{x_2}`=3

`\bf{x_1}` = -9

Plug in the Values

`\bf{\displaystyle(6-(-2))/(3-(-9)) }`

6-(-2) is the same as 6+2; same with 3-(-9)

`\bf{\displaystyle(6+2)/(3+9)}`

Simplify:

`\bf{\displaystyle(8)/(12)}`

Is the slope negative? Nope!

How about Option B?

`\bf{\displaystyle(7-9)/(5-6)}`

`\bf{\displaystyle(-2)/(-1)}`

Right now it seems like the slope's negative, huh? Well, wait for it...

`\bf{2}`

Kaboom!

Please remember that

`\bigstar^\circ` A negative number multiplied/divided by a negative number equals... a positive! :-)

We have 2 options left: C & D.

`\displaystyle(-8-1)/(8-(-8))`

`\displaystyle(-8-1)/(8+8)}`

`\displaystyle(-9)/(16)}`

We did it! The slope's actually negative :)

How about Option D (just to make sure the third option is right)

-9-(-8)/-1-2

-9+8/-3

-1/-3

Again we have a negative over a negative.

Therefore, the correct option is

`\boxed{\boxed{\bold{Option~C}}}`

Hope everything is clear.

Let me know if you have any questions!

#LearnWithJoy

`\text{An~Emotional~Helper}`

`\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}`