Question

explain graphical represention of linear equation

Answer 1

Linear equation in two variables is represented graphically by the line whose points give the collection of solutions of the equation. This is called graphing linear equation.

Properties for graphing linear equation:

1. Linear equations have infinitely many solutions.

2. Every point (h, k) on the line AB gives the solution x = h and y = k.

3. Every point which lies on AB satisfies the equation of AB.

4. To draw an exact line on the graph paper you can plot as many points you like, but it is necessary to plot minimum three points.

Method how to draw the graph of linear equation in two variables:

1. Convert the given equation in the form of y = mx + b (slope intercept form).

2. Apply trial and error method to find 3 pairs of values of (x, y) which satisfy the given equation.

3. Plot these points on the graph paper.

4. Join the points marked on the graph paper to get a straight line which represent the given equation graphically.

Some rules:

1. Linear equation in two variables has infinitely many solutions.

2. A graph of linear equation is always a straight line.

3. Every point on the straight line is the solution of the linear equation.

4. Equation of y-axis is x = 0. The standard form of this equation is x + 0.y = 0.

5. Equation of x-axis is y = 0. The standard form of this equation is 0.x + y = 0.

6. x = a is a graph of straight line parallel to y-axis and standard form of this equation is x + 0.y = a

7. y = b is a graph of straight line parallel to x-axis and standard form of this equation is 0.x + y = b.

8. The equation y = mx is always passing through the origin (0, 0).

Graph:

1. Draw the graph of the linear equation y = 2x.

Solution:

The given linear equation y = 2x is already in the form of y = mx + b [here b = 0].

Now we will apply the trial and error method to find 3 pairs of values of (x, y) which satisfy the given equation y = 2x.

When the value of x = 0, then y = 2 × 0 = 0

When the value of x = 1, then y = 2 × 1 = 2

When the value of x = 3, then y = 2 × 3 = 6

When the value of x = -1, then y = 2 × -1 = -2

When the value of x = -2, then y = 2 × -2 = -4

Arrange the values of the linear equation y = 2x in the table.

Linear Equation Table
0Save
Now, plot the points P (0, 0), Q (1, 2), R (2, 4), S (3, 6), T (-1, -2), U (-2, -4) on the graph paper.

Graph of Linear Equation.

The photo is not uploading sorry.

I hope it will help for u ☺.

Answer 2

Answer:

Hey Mate ...❤

Graphical Representation of linear equation ...