Draw the graph of each of the following linear equations in two variables:
i) x = 2 + y ii) y = 2x - x
Answers
Method to draw the graph of linear equation in two variables:
1. Let the linear equation in two variables be ax+by+c=0
Write the linear equation and Express Y in terms of x.
Y=(-ax+c)/b......(1)
2.
Put put arbitrary value of x in equation 1 and find the corresponding values of y.
3.
Form a table by writing the value’s of y to the corresponding values of x.
4.
Draw the coordinates axes on graph paper and take a suitable scale to plot points from the table on graph paper.
5.
Join the points and we get a straight line and produced it on both sides.
Hence, the straight line so obtained is the required graph of given linear equation.
It is enough to plot two points Corresponding to two solutions and join them by a line.
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[ Table & graph are in the attachment]
Solution:
i)
Given Equation is
x +y= 4
To draw the graph we need at least 2 solutions of the equation.Given equation can be written as
Y=4-x
When x=0, then y=4
When x=4, then y=0
So, plot the points
A(0,4), B(4,0) on the graph paper and join them by line.
Hence, line AB represents the required graph of a linear equation.
ii)
x-y=2
-y=2-x
y=x-2
when x=0, then y= -2
when y=0 , then x=2
iii) y=3x
when x=0, then y=0
when y=3, then x=1
iv)
3=2x+y
2x+y-3=0
y=(-2x+3)
when x= 0, then y=3
when x=1, then y=1
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Hope this will help you.....
