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Draw the graph of each of the following linear equations in two variables
i) x + y = 4
ii) x - y = 2
iii) y = 3x
iv) 3 = 2x + y


Answer :

i) To draw the graph, we need atleast two solutions of the equation.

x04
y40
(x, y)(0, 4)(4, 0)

Thus, we draw the graph by plotting the two points from table and then joining by a line.
image
ii) To draw the graph, we need atleast two solutions of the equation.

x02
y-20
(x, y)(0, -2)(2, 0)

Thus, we draw the graph by plotting the two points from table and then joining by a line.
image

iii)To draw the graph, we need atleast two solutions of the equation.

x01-1
y03-3
(x, y)(0, -2)(2, 0)(-1, -3)

Thus, we draw the graph by plotting the two points from table and then joining by a line.
image

iv)To draw the graph, we need atleast two solutions of the equation.

x01-1
y315
(x, y)(0, 3)(1, 1)(-1, 5)

Thus, we draw the graph by plotting the two points from table and then joining by a line.
image

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