Question

Equation: $2x-y=4$meets at:

Answer 1

To find point of intersection of a line with coordinate axes, put $x=0$ and $y=0$ simultaneously.

Given equation is $2x-y=4$

putting $y=0,$ we get;

$$\begin{gathered} 2x-y=4 \\ 2x-0=4 \\ 2x=4 \\ x=\frac{4}{2} \\ x=2 \end{gathered}$$

Thus, the line $2x-y=4$ meets $x$-axis at point $\left(2,0\right)$

Again, putting $x=0,$ we get;

$$\begin{gathered} 2x-y=4 \\ 2\left(0\right)-y=4 \\ -y=4 \\ y=-4 \end{gathered}$$

Hence, the line meets $y$-axis at point $\left(0,-4\right)$