Question

The point $(3,15)$ passes through the line represented by the equation .

• A. $y=5x$
• B. $y=4x$
• C. $y=6x$

Answer 1

The correct option is A $y=5x$

Let us substitute the point $(3,15)$ in the equations given to check if the point lies on the line represented by the equations, or in other words, to check if the point satisfies the equations.
Consider the equation $y=4x.$
Substituting $x=3$ and $y=15$ in $y=4x,$ we get
$4\left(3\right)=12\ne 15.$
$⟹$ The given point does not pass through the line represented by the equation $y=4x.$

Similarly, substituting $x=3$ and $y=15$ in $y=6x,$ we get
$6\left(3\right)=18\ne 15.$
$⟹$ $(3,15)$ does not satisfy the equation $y=4x.$

But, on substituting $x=3$ and $y=15$ in the equation $y=5x$, we get $5\left(3\right)=15.$
$\therefore$ The point $(3,15)$ passes through the line represented by the equation $y=5x.$