Graph of a Linear Equation in Two Variables

The equation of $y$-axis is:

The point $\left(\frac{-1}{4}, \frac{-1}{2}\right)$ lies 

Draw the graph of the equations $x + 3y- 4 = 0$   and $3x-y-2=0$  and state whether they are perpendicular to each other or not. 

Draw the graph of the equation $5x-2y-20=0$ . Hence, find the coordinates of points where the graph meets the coordinate axes.

Draw the graph of the lines $x=2y+1$

Draw the graph of the lines $3x-4y=12$

A, B and C are three points whose coordinates are $(3,5), (-2,-1)$ and $(3,\mathrm{k})$ respectively such tha$\angle ACB=90°$. From the graph, find k and also find the area of$∆\mathrm{ABC}$ .

Draw the graphs of the equations $2x-3y-9=0$ and $3x+2y-8=0$ on the same graph paper. Hence, find their point of intersection. Are these lines perpendicular to each other?

Draw the graph of the equation $2x-5y=10$ . From the graph, find the value of x when $y=4$

Draw the graph of the equation$2x-5y=10$ . From the graph, find the value of y when $x=5$

Determine the slope and y-intercept of the following: $3x+2y=4$

Determine the slope and y-intercept of the following: $3x-y-2=0$

Determine the slope and y-intercept of the following: $y=2x+3$

Determine the slope and y-intercept of the following: $y=x$

Draw the graphs of the following pairs of lines on the same graph paper and hence check whether they are perpendicular to each other
$2x+3y+12=0; 3x-2y+6=0$

Draw the graphs of the following pairs of lines on the same graph paper and hence check whether they are perpendicular to each other
$x-y-5=0; x+y+6=0$

Draw the graphs of the following pairs of lines on the same graph paper and hence check whether they are parallel to each other or not
$y=3x+5; y=3x-1$

Draw the graphs of the following pairs of lines on the same graph paper and hence check whether they are parallel to each other or not
$2x+3y-6= 0; 4x+6y+12=0$

The distance between the graph of the equations $x=-3$ and $x=2$ is

Every point on the line representing the equation the linear equation in two variables.