TMUA Official 2023 Paper 2 · Question 7

Official papers

Official 2023 Paper 2 · Q7

Paper 2Logic & proofFunctions & graphs

The graph of the line $ax+by=c$ is drawn, where $a$ , $b$ and $c$ are real non-zero constants.

Which one of the following is a necessary but not sufficient condition for the line to have a positive gradient and a positive $y$ -intercept?

\frac cb>0

and

\frac ab<0

\frac cb<0

and

\frac ab>0

a>b>c

a<b<c

a

and

c

have opposite signs

a

and

c

have the same sign

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