Short Answer TypeGive the geometric representations of y = 3 as an equation
in two variables.
In two variables
y = 3
⇒ 0.x + 1.y = 3
It is a linear equation in two variables x and y. This is represented by a line. All the values of x are permissible because O.x is always 0. However, y must satisfy the relation y = 3. Hence, two solutions of the given equation are x = 0, y = 3 and x = 2, y = 3.
Thus the graph AB is a line parallel to the x-axis at a distance of 3 units above it.
Solve the equation 3(x + 2) = 2(2x – 1) and represent the solution:
(i) on the number line
(ii) in the Cartesian plane.
Solve 4x – 7 = 9. Represent the solution (i) on the number line
(ii) in the Cartesian plane.
Give the geometric interpretation of 7x + 6 = 2x – 4 as an equation:
(i) in one variable
(ii) in two variables.
Give the geometrical representation of the equation 3x + 15 = 0 as an equation:
(i) in one variable
(ii) in two variables
Switch
. What will be the graph of this equation?
