compare the linear function and the arithmetic sequence below.

linear function
x
-1,0,1,2

y
7,9,11,13

the rate of change of the linear function is _

the y-intercept of the linear function is __

1 answer

The rate of change of the linear function is the same for every interval between consecutive x-values. In this case, the rate of change is 2 because for every increase of 1 in x, there is an increase of 2 in y.

The y-intercept of the linear function is the value of y when x is 0. In this case, the y-intercept is 7.

On the other hand, the arithmetic sequence does not have a rate of change or a y-intercept. The arithmetic sequence is a sequence of numbers where each number is obtained by adding a constant difference to the previous number. In this case, the arithmetic sequence is 7, 9, 11, 13, which has a common difference of 2.