Mathematics: Which statement about the graph is true?

Are those two different problems because it doesn t make sense...

Which statement about the graph is true? - id4888072, vanessasmith47

eddy3625

17.01.2022

The statement that is true about the graph is:

The graph does not show a proportional relationship because each point written as ratio gives a different value.

Step-by-step explanation:

A graph is said to have a proportional relationship if it is a straight line passing through the origin.

i.e. a variable must be a constant multiple of the other variable.

i.e. y=kx

From the given graph we have a straight line that passes through (0,2) and (2,3)

Hence, the equation of line is:

$y-2=\dfrac{3-2}{2-0}\times (x-0)\\\\\\i.e.\\\\\\y-2=\dfrac{1}{2}x\\\\\\i.e.\\\\\\y=\dfrac{1}{2}x+2$

Hence, the graph does not show a proportional relationship as the equation of the graph is not of the form y=kx

This means that $\dfrac{y}{x}\neq k$

for some constant k.

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