Question

Look at this function: (−6, −13)( −4,−9)( −2,−5)( 0,−1) Mark said that the function is linear. Jason said that the function is nonlinear. Which of the following explains who is correct?

A.Mark, because for every 2-unit increase in x, there is an increase in y by 4

B.Mark, because for every 4-unit increase in x, there is an increase in y by 2

C.Jason, because the point (0, −1) does not lie on the straight line that contains the other points

D.Jason, because the point (−6, −13) does not lie on the straight line that contains the

Answer 1

A.) Mark is correct as every increase in x of 2 equals a y increase of 4

Answer 2

Answer with explanation:

→The given function is:

       (−6, −13)( −4,−9)( −2,−5)( 0,−1).

Difference in Y values

     = -13 - (-9)=-13+9= -4

    = -9 - (-5)=-9+5 =-4

    = -5 - (-1)= -5 +1= -4

Difference in X value

   = -6 - (-4)=-6+4= -2

   = -4 - (-2)= -4 +2= -2

   = -2 - 0= -2

→Difference in X values as Difference in y values between two points is same.

→The function is Linear.

→Mark is Right.

→Option B:

Mark, because for every 2-unit increase in x, there is an increase in y by 4 .