Ravish tells his daughter Aarushi, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be". If present ages of Aarushi and Ravish are $x$ and $y$ years respectively, represent this situation algebraically as well as graphically.

Aarushi was driving a car with uniform speed of  $60\mathrm{km}/\mathrm{h}$. Draw distance-time graph. From the graph, find the distance travelled by Aarushi in

$\left(i\right) 2\frac{1}{2}$ hours

Aarushi was driving a car with uniform speed of  $60\mathrm{km}/\mathrm{h}$. Draw distance-time graph. From the graph, find the distance travelled by Aarushi in

$\frac{1}{2}$ hour 

Give the geometric representations of the following equations

$\left(a\right)$on the number line
$\left(b\right)$ on the Cartesian plane:

$x=2$

Give the geometric representations of the equation:

$\left(a\right)$on the number line
$\left(b\right)$ on the Cartesian plane:

$y+3=0$

Give the geometric representations of the following equations

$\left(a\right)$on the number line
$\left(b\right)$ on the Cartesian plane:

$y=3$

Give the geometric representations of the equation: $2x+9=0$

$\left(a\right)$on the number line
$\left(b\right)$ on the Cartesian plane:

Give the geometric representations of the equation: $3x-5=0$

$\left(a\right)$on the number line
$\left(b\right)$ on the Cartesian plane:

Give the geometrical representation of $2x+13=0$ as an equation in one variable.