Question

11. The graph of the equation x - y = 0 is (a) parallel to x-axis (c) passing through origin (b) parallel to y-axis (d) none of them​

Answer 1

c) passing through origin is right answer

Answer 2

The graph of the equation $\[x\text{ }-\text{ }y\text{ }=\text{ }0~\]$ is (c) passing through origin.

Given:

From the given equation  $\[x\text{ }-\text{ }y\text{ }=\text{ }0~\]$

To find:

The graph of the equation  $\[x\text{ }-\text{ }y\text{ }=\text{ }0~\]$

Step-by-step explanation:

Put $x=-1$

Substitute x in equation,

$-1-y=0$

Hence$y=-1$

Then the point is $(-1,-1)$

Put $x=0$

Substitute x in equation,

$0-y=0$

Hence $y=0$

Then point is $(0,0)$

Put $x=1$

Substitute x in equation,

 $1-y=0$

$y=1$

Then point is (1,1)

Put $x=2$

Substitute x in equation,

$2-y=0$

$y=2$

Then vertex point is$(2,2)$

Put $x=3$

Substitute x in equation,

$3-y=0$

$y=3$

Then vertex point is $(3,3)$

The point passes through the equation  $\[x\text{ }-\text{ }y\text{ }=\text{ }0~\]$ is  $(-1,-1),(0,0),(1,1),(2,2),(3,3)$

All points in the graph show that the graph is straight line which is passing through the origin.