Question

The value of a mural is proportional to the experience of the muralist. The graph(s) that shows a proportional relationship between "x" and "y" is

• A. Graph A
• B. Graph B
• C. Both A and B

Answer 1

The correct option is B Graph B

The general form of an equation representing a proportional relationship between "$x$" and "$y$" is
"$y=kx$", where $k$ is any constant.

Now, in "$y=kx$", if $x=0$, then $y=k\times 0=0$.

So, in a proportional relationship between $x$ and $y$,
if $x=0$, then $y=0$.

For Graph A:
The straight line passes through the point $(0,2)$


The equation for Graph A is $y=2x+2$ which is not of the form $y=mx$

So, in Graph A, when $x=0$, $y=2$

Hence, $GraphA$ does not show a proportional relationship between $x$ and $y$.

For Graph B:
The straight line passes through $(0,0)$


The equation of the graph is $y=2x$ which is of the form $y=mx$

So, in Graph B, when $x=0$, $y=0$

Hence, the graph that shows a proportional relationship between $x$ and $y$ is $GraphB$