Question

Find the coordinates of the points where the line representing the equation $\frac{x}{4}=1-\frac{y}{6}$ cuts the $x-axis$ and the $y-axis$.

Answer 1

$\frac{x}{4}=1-\frac{y}{6}$

$\frac{x}{4}=\frac{6-y}{6}$

$3x=2(6-y)\Rightarrow 3x+2y=12$

It cuts the x-axis at $y=0$

$3x=12$

$x=4$

Cuts x axis $(4,0)$

It cuts the y-axis at $x=0$

$2y=12$

$y=6$

$\therefore$Cuts y-axis at $(0,6)$