Linear equation can have one or more variables. Common form of a linear equation in the two variables x and y is y = mx + b, where m and b designate constant.
And mx - y + b = 0 represent a equation of straight line. Any linear equation can also be solved using graphical representation of straight line as shown below.
Problem : Solve and graph 2x + y = 8
Solution : Given equation is 2x + y = 8
So y = 8 - 2x
To plot a graph let us consider a range of x values and calculate respective y values.
Graph representing above data,
Scale : on x axis 1cm = 1 unit
on y axis 1cm = 2 units
And mx - y + b = 0 represent a equation of straight line. Any linear equation can also be solved using graphical representation of straight line as shown below.
Problem : Solve and graph 2x + y = 8
Solution : Given equation is 2x + y = 8
So y = 8 - 2x
To plot a graph let us consider a range of x values and calculate respective y values.
| x | - 3 | - 2 | - 1 | 0 | 1 | 2 | 3 | 4 |
| y | 14 | 12 | 10 | 8 | 6 | 4 | 2 | 0 |
Graph representing above data,
Scale : on x axis 1cm = 1 unit
on y axis 1cm = 2 units
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