Respuesta :

Yes, the table represents a linear function

Answer:

Yes

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!

m=1*(24+-1*15)/(8+-1*5)  | add 24 to -15

m=1*9/(8+-1*5)  | add 8 to -5

*m=1*9/(8+-5)  | Divide 9 by 3

m=1*3  

Calculate the y-axis intercept b by inserting:

General form of the linear function: f(x)=mx+b

Insert 3 for m, 5 for x and 15 for f(x).

 | Multiply 3 by 5

15=3*5+1*b  | Swap both sides of the equation.

1*b+15=15  | -15

1*b=0  

So, the y-axis intercept is at 0

Therefore, the equation of the function is f(x)=3*x+0