Which statement best explains whether y = 3x + 5 is a linear function or a nonlinear function? it is a linear function because its graph contains the points (0, 0), (1, 0), (2, 8), which are on a straight line. it is a linear function because its graph contains the points (0, 0), (1, 0), (2, 4), which are not on a straight line. it is a nonlinear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line. it is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line

It is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line

Last choice

Remark

The question is not are these points on any straight line. The point is are these points on the given straight line.

Given

y = 3x + 5

Question which three points are on the given straight line.

A

A is incorrect.

When x = 1, y= 3(1) + 5 = 8

The polnt (1,0) is not on this straight line.

B

B is incorrect. See the explanation for A.

C

C is wrong because of the word nonlinear. The points are on the given straight line and because the given line (y = 3x + 5) is linear the points fall on a linear line.

D

Correct answer. The points fall on a linear line.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐