Plotting a Linear Equation On Graph
Plotting a Linear Equation On Graph
A linear equation in two variables has infinitely many solutions. We can plot these solutions on a graph. Each solution represents a point on the graph, Let us take any three solutions and plot them on the graph as P, Q and R, we will see that on joining these three points we get a straight line passing through them. We find that a linear equation in two variables is geometrically represented by a line such that:
(i) Every solution of the linear equation represents a point on the line.
(ii) Every point on the line is a solution of the linear equation.
Illustration: Draw the graph of the equation y-x=2
Solution: We will try to find three solutions for the linear equation,
When we have :
When we have :
When we have :
Thus, we have the following table exhibiting the abscissae and ordinates of points on the line represented by the given equation
| x | 1 | 3 | 4 |
| y | 3 | 5 | 6 |
Plotting the points (1,3), (3,5) and (4,6) on the graph paper and drawing a line joining them , we obtain the graph of the line represented by the given equation
A line is drawn parallel to x-axis. Its equation could be | |||
| Right Option : D | |||
| View Explanation | |||
Any point on x-axis is of the form _________________ | |||
| Right Option : A | |||
| View Explanation | |||
If the graph for the equation 4x + 3y =12 cuts the coordinated axes at A and B then the hypotenuse of the right triangle AOB is of length _____________ | |||
| Right Option : C | |||
| View Explanation | |||
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