Question

The given graph shows the proportional relationship between two quantities $x$ and $y$.


Interpret the graph and select the correct statement.

Answer 1

$\text{Detailed step-by-step solution:}$
$\text{Checking for proportionality of the quantities:}$
Since the graph is a straight line passing through the origin, the quantities $x$ and $y$ are proportionally related to each other.
Hence, $\frac{y}{x}=$ constant of proportionality.

$\text{Finding the constant of proportionality:}$
Constant of proportionality $=\frac{y}{x}$
$=\frac{4}{2}$ (Any value of $y$ and the corresponding value of x can be taken although checking ratio at $x=2$ and $y=4)$
$=2$
$\Rightarrow \frac{y}{x}=2$
$\Rightarrow y=2x$
$\text{Equation of the graph will be}y=2x\text{.}$
➡Option A is correct.