# UP Board Class 10th Pair of Linear Equations in Two Variables - Plotting of Graphs

In this video we will learn about the UP Board Class 10th Mathematics topic, plotting of graphs for a pair of linear equations in two variables.

Created On: Jan 12, 2016 11:51 IST
Modified On: Jan 13, 2016 17:32 IST

In this video we will learn about the UP Board Class 10th Mathematics topic, plotting of graphs for a pair of linear equations in two variables.

Two straight lines are obtained when we plot a pair of linear equations on the graph paper which gives rise to three conditions.

• Three possibilities may occur on plotting the equations:
1. The two lines intersect at a point
2. The two lines do not intersect each other, i.e., they are parallel.
3. The two lines are co-incident.
• For plotting:
1. Express y in terms of x.
2. To introduce the integral values for x, thus solving for y.
3. Thus, finding a common point for the two lines plotted called the solution of linear equation.
• While taking values for x and y, care needs to be taken in choosing only the integral values. If we take decimal or fraction numbers, then plotting may pose hard problems.