Answer

Verified

339.3k+ views

**Hint:**Change of form of the given equation will give the x-intercept and y-intercept of the line $x- y=0$. We change it to the form of $\dfrac{x}{p}+\dfrac{y}{q}=1$ to find the x intercept, and y intercept of the line as $p$ and $q$ respectively.

Then we place the points on the axes and from there we draw the line on the graph.

**Complete step by step solution:**

We are taking the general equation of line to understand the slope and the intercept form of the line

$x-y=0$.

We change from the equation $x-y=0$ to $y=x$.

The given equation is in the form of $y=mx+k$. m is the slope of the line. The slope of the line is 1.

We have to find the x-intercept, and y-intercept of the line $x-y=0$.

For this we convert the given equation into the form of $\dfrac{x}{p}+\dfrac{y}{q}=1$. From the form we get that the x intercept, and y intercept of the line will be$p$ and $q$ respectively. The points will be $\left( p,0 \right),\left( 0,q \right)$.

The given equation is $x-y=0$. Converting into the form of $\dfrac{x}{p}+\dfrac{y}{q}=1$,

we get

$\begin{align}

& x-y=0 \\

& \Rightarrow \dfrac{x}{0}+\dfrac{y}{0}=1 \\

\end{align}$

**We don’t find any intercepts as the form is not possible to create. This means the line intersects the axes at the same point. We can see that the line goes through the origin of $\left( 0,0 \right)$. The line $x-y=0$ cuts the axes at $\left( 0,0 \right)$.**

**Note:**A line parallel to the X-axis does not intersect the X-axis at any finite distance. Hence, we cannot get any finite x-intercept of such a line. Same goes for lines parallel to the Y-axis. In case of slope of a line the range of the slope is 0 to $\infty $.

Recently Updated Pages

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE

Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE

What are the possible quantum number for the last outermost class 11 chemistry CBSE

Is C2 paramagnetic or diamagnetic class 11 chemistry CBSE

What happens when entropy reaches maximum class 11 chemistry JEE_Main

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Difference Between Plant Cell and Animal Cell

Which places in India experience sunrise first and class 9 social science CBSE

The list which includes subjects of national importance class 10 social science CBSE

What is pollution? How many types of pollution? Define it

State the laws of reflection of light