Short Answer Type I Questions [2 marks]
11. Draw the graph of each of the following linear
equations in two variables:
(i) x + 2y = 4
(ii) 3x + 2y = 6
(iii) 5x - y = 10
(iv) y = x
(v) y = -x
(vi) y = 5r
(vii) 15 + 3x + y = 0
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Answer:
The graph of every linear equation in two variables is a straight line.
It is concluded that every point on the line satisfies the equation of the line and every solution of the equation is a point on the line.
A remark is mentioned in this section which cites that the polynomial with degree one is called a linear equation because its geometrical representation is a straight line.
x = 0 is the equation of the y - axis and y = 0 is the equation of the x - axis.
x = a is the equation of the straight line parallel to y - axis.
y = a is the equation of the straight line parallel to x - axis.
Solved examples are given to
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