Graphing Linear Equation is an effective tool for solving linear equations. Linear equation is an equation for a straight line where each term can be a constant or product of constant and a variable. The highest power of the variable appearing in linear equation is 1. The equations involving only linear polynomials we call as linear equations. Linear equation makes a straight line when it is graphed. This can be written in the form (slope intercept form) y= m x + b. Graphing Linear equation made it easy to find slope and intercepts of a line.
Example 1:-
Graph y = x + 2
Solution 1:-
Substitute some values for x and find out y
If x = 0 then y = 2 (x, y) = (0, 2)
If x = 1 then y = 3 (x, y) = (1, 3)
If x = -1 then y = 1 (x, y) = (-1, 1)
Plot the points (x, y) in the graph and draw line connecting all the points
the above is the graph of linear equation y = x + 2
Example 2:-
Graph equation y = -2x -1
Solution 2:-
y = - 2x – 1
If x = 0 then the value of y = -1 so (x, y) = (0, -1)
If x = 1 then the value of y = -3 so (x, y) = (1, -3)
By taking some more values of x find values of y
By plotting x, y values in the graph and draw line connecting all the points
The above examples show the way of graphing linear equation.
Example 1:-
Graph y = x + 2
Solution 1:-
Substitute some values for x and find out y
If x = 0 then y = 2 (x, y) = (0, 2)
If x = 1 then y = 3 (x, y) = (1, 3)
If x = -1 then y = 1 (x, y) = (-1, 1)
Plot the points (x, y) in the graph and draw line connecting all the points
the above is the graph of linear equation y = x + 2
Example 2:-
Graph equation y = -2x -1
Solution 2:-
y = - 2x – 1
If x = 0 then the value of y = -1 so (x, y) = (0, -1)
If x = 1 then the value of y = -3 so (x, y) = (1, -3)
By taking some more values of x find values of y
By plotting x, y values in the graph and draw line connecting all the points
The above examples show the way of graphing linear equation.
