Question

Draw a graph of each of the following linear equations in two variables :
x+y=4 ​

Answer 1

We are asked to draw the graph of x + y = 4 that is linear equation in two variables

~ Firstly put x as 0 in the equation!

→ x + y = 4

→ 0 + y = 4

→ y = 4

• Henceforth, coordinates = (0,4)

~ Now put y as 0 in equation!

→ x + y = 4

→ x + 0 = 4

→ x = 4

• Henceforth, coordinates = (4,0) $\:$

Answer 2

To draw the graph,

We need at least two solutions of the equation.

Putting x = 0,

→ 0+y = 4

→ y = 4

So, (0,4) is a solution of this equation.

Now, Putting y = 0

→ x +0=4

→ x = 4

So, (4,0) is a solution of this equation.