Question

The ordered pairs below represent a relation between x and y.

-3,-3 , -2,0 , -1,3 , 0,6 , 1,9, 2,12

Could this set of ordered pairs have been generated by a linear function?

Answer 1

Yes, because the slope m is constant, m=3.

Also the y intercept is 6 so y=3x+6.

Answer 2

Yes, because the relative difference between y-values and x-values is the same no matter which pair of (x,y) values you use to calculate it

Answer 3

The slope of the line represented by this table is 3 and the y intercept if 6