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 n
onlinear. 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
2 answers:
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 .
A.) Mark is correct as every increase in x of 2 equals a y increase of 4
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Answers A. and B. Are correct