Question

Give the geometric representation of y=3 as an equation:
i) In one variable
ii) In two variable

Answer 1

Hint: Here we need to represent the equation y=3 in the form of one variable and two variables (by introducing say x somehow without changing the properties of the equation).

Complete step-by-step answer:

Given,
$y = 3$
i) In one variable

Equation remain same i.e $y = 3$

ii) In two variable

Something multiplied by zero (0) is zero.

So we can add by $0 \times x$ (this way we can introduce another variable i.e. x without changing the properties of the equation.)

$\Rightarrow 0 \times x + y = 3$

$\Rightarrow 0x + y - 3 = 0$

So, this is the required equation in two variables.

The geometric representation is shown above.

Note: It is a line parallel to x-axis at a positive distance of 3 units from it. We have three of its solutions as (0,3), (1,3), (2,3). The general solution is (x,3).