Question

The table shows the relationshio between 2 variables. Which selection describes the relationship?

X | Y
| 1 | 5
| 2 | -1
| 3 | -7
| 4 | -13

A. Increasing; linear
B. Increasing; non-linear
C. Decreasing; linear
D. Decreasing; non-linear

Thank you!!

Answer 1

Answer: C) decreasing; linear

Its decreasing because y is decreasing as x is increasing. If you draw out a graph, the line will go downhill as you move from left to right

This is a straight line as each time the decrease is the same. In this case, each time x increases by 1, the y drops by 6. So the slope is -6/1 = -6. The negative slope means decrease. If you picked any two points from the table, you can use the slope formula m = (y2-y1)/(x2-x1) and you'd find that m = -6 each time.