Respuesta :

Answer:

Slope is 2.

Step-by-step explanation:

So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:

Step 1 - [tex]x_2-x_1=change_.in_.x[/tex]

Step 2 - [tex]y_2-y_1=Change_.in_.y[/tex]

Step 3 - [tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]

So lets start by doing step one.

All we need is to look for two x values. Lets use 5 and 6:

6-5=1

So 1 is our change of x. This is our 1st step.

Next we can use 2 y values, note that these should be the 2 y values that go wiht the x values above. So this means we have to use -3 and -1:

-1-(-3) = 2

So 2 is our change in y. This is our 2nd step.

Now lets plug this into:

[tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]:

[tex]\frac{2}{1} = 2[/tex]

So our slope is 2. Completing our 3rd and final step.

Hope this helps!