Question

If the line $x-3y=18$ passes through the points $(m,-5)$ and $(6,n)$, find the values of $m$ and $n$.

• A. $m=1$ and $n=3$
• B. $m=3$ and $n=-4$
• C. $m=2$ and $n=-7$
• D. $m=7$ and $n=-3$

Answer 1

The correct option is B $m=3$ and $n=-4$

The graph of the line passing through $(18,0)$ and $(0,-6)$ is drawn.
Taking 1cm=3units
From the graph it is clear that corresponding to $y=-5$ we get $x=3$
Thus,$m=3$
Also, corresponding to $x=6$ we get $y=-4$
Thus,$n=-4$