(PLEASE HELP ME ASAP‼️‼️‼️)What is the slope of the line shown below? (-1,8)
10
10
(2,-4)
10
O A. -4
O B. - 1 / 1
O O C. 4
D.
M

B. -4

Step-by-step explanation:

To find the slope you can count the difference between the 2 points. Slope is rise over run. This means that slope is equal to change in y/ change in x. In this case, the 2 y-values are 8 and -4. This is a decrease of 12, aka -12. Then, the 2 x-values are -1 and 2. This is an increase of 3. Therefore the slope is -12/3. When simplified this equals -4.

Additionally, there is a slope formula, . If you plug in the values, you will get the same answer as the technique above.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

cheater

step-by-step explanation: