Question

I need help i will give them 100 points.

Answer 1

Hello!

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

Slope Formula:

$\bold{\displaystyle\frac{y_2-y_1}{x_2-x_1}}$

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

$\bf{\displaystyle\frac{6-(-2)}{3-(-9)} }$

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

$\bf{\displaystyle\frac{6+2}{3+9}}$

Simplify:

$\bf{\displaystyle\frac{8}{12}}$

Is the slope negative? Nope!

How about Option B?

$\bf{\displaystyle\frac{7-9}{5-6}}$

$\bf{\displaystyle\frac{-2}{-1}}$

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.

$\displaystyle\frac{-8-1}{8-(-8)}$

$\displaystyle\frac{-8-1}{8+8}}$

$\displaystyle\frac{-9}{16}}$

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

$\text{An~Emotional~Helper}$

$\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}$

Answer 2

The last one because the y is negative