Question

For a given function, the graph of x and y is shown below. Which of the following statements are true? Check all that apply.

Answer 1

Answer:

Step-by-step explanation:

Given that line passes through (0,0) and (2,1)

(Note that any two points are sufficient to determine the equation of the line)

The slope = change in y/change in x = (1-0)/(2-0) = 1/2

Hence answers are:

Variable y varies directly with x. (if x increases y also increases and vice versa)

The constant of variation = slope of line = 1/2

The constant of variation is 2 is wrong since slope = 1/2

The variable y does not vary directly with x is wrong since when x increases by 1 unit y increases by 1/2 unit for all real x.

Answer 2

I think thats right.