Question

What is the equation that best represents the trend line on the scatter plot?A. y= 2/3x + 22B. y= -2/3x + 22C. y= -4/3x + 22D. y= 4/3x + 22

Answer 1

We have to identify the equation of the trend line.

We can see that the trend is decreasing, so the slope has to be negative. Knowing that, we can discard options A and D because they have positive slopes.

The y-intercept is y = 22, but both options B and C have the same y-intercept.

We can then look at the value of the slope: we can see that y decreases 2 units per 3 units of increase of x. This means that we can express the slope as:

`m=(\Delta y)/(\Delta x)=(-2)/(3)=-(2)/(3)`

Then, the equation of the trend line is:

`y=-(2)/(3)x+22`

Answer: B. y= -2/3x + 22