Question

The table represent a linear function

X Y
-2 -2
-1 1
0 4
1 7
2 10
what is the slope of the function?
-3
-2
3
4

Answer 1

the answer is three work is in picture

Answer 2

The answer is 3.

Explanation:

In order to determine the slope of the function, we have to know about linear function.

In any linear function, we can get its slope using two pairs of coordinates that belong to the linear function.

m=Slope of the linear function.

P1=(x1,y1)=First pair of coordinate.

P2=(x2,y2)=Second pair of coordinate.

`m=(y_2-y_1)/(x_2-x_1)`

In this case, we have many pairs of coordinates, so we choose two of them:

`P_1=(-1,1)\\P_2=(0,4)`

Then, we replace them in the slope formula:

`m=(4-1)/(0-(-1))=(3)/(1)=3`

Finally, the slope of the function is 3.