Respuesta :

It is -10

Because when you take two points from the table and put it into the equation y=my+b...

So for example, take (-4,-16) from the table and substitute into x and y...

-16=m(-4) + b

And then substitute all the options given in the question, so I tried -10 first and put it in the place of m( in the equation) because m is the slope.

Then the equation would look like this:

-16= -10(-4) +b

Now solve for b

B= 24

And then check your answer by the RHS and LHS Method..

-16=-40 +24

Which is equal to:

-16=-16

There fore the the slope of this equation is 10

Answer: 5

Step-by-step explanation:

The formula to find slope is given by :-

[tex]\text{Slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given table in picture,

Take [tex]x_1=0\ ;\ y_1=4\\\\x_2=2\ ;\ y_2=14[/tex]

Then, slope of the given function will be given by :-

[tex]\text{Slope}=\dfrac{14-4}{2-0}\\\\\Rightarrow\text{Slope}=\dfrac{10}{2}=5[/tex]

Hence, the slope of the given function  = 5