Draw the graph of each of the following linear equations in two variables:
(i)
(ii)
(iii)
(iv)
Solution (i)
We first need to find 3 or 4 set of solutions for the given equation:
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Similarly, putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Therefore, four different solutions for equation
are:
Now, we plot all these four points on the Cartesian plane. When we join these points, it makes a straight line.
Solution (ii)
We first need to find 3 or 4 set of solutions for the given equation:
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Similarly, putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Therefore, four different solutions for equation
are:
Now, we plot all these four points on the Cartesian plane. When we join these points, it makes a straight line.
Solution (iii)
We first need to find 3 or 4 set of solutions for the given equation:
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Similarly, putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Four different solutions for equation
are:
Now, we plot all these four points on the Cartesian plane. When we join these points, it makes a straight line.
Solution (iv)
We first need to find 3 or 4 set of solutions for the given equation:
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Similarly, putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Putting
in the equation
, we get
Therefore,
is one of the infinite possible solutions.
Four different solutions for equation
are:
Now, we plot all these four points on the Cartesian plane. When we join these points, it makes a straight line.
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