Does the table represent a linear function? *
1. Yes
2.No
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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