Question

Which of the following statement is true about the function y = 1/3x - 8

1) It has infinitely many solutions for (x,y)
2) x is a function of y
3) If the input is 114, the output is 30
4) It is a straight line

Answer choices

A: All of the above
B: 1,3 and 4 only
C: 1 and 3 only
D: 1 and 4 only
E: 4 only

Answer 1

Answer: A

Explanation:

1) The graph is of a line, which passes through infinitely many points. Thus, this is true.

2) Solving for
`x`, we get
`x=3(y+8)`. Thus, this is true.

3) Substituting
`x=114`,
`y=(1)/(3)(114)-8=30`. Thus, this is true.

4) This is a linear equation, and is thus the graph of a line.