I understand the program is long and tedius, I need help any way possible. Write in C$++$ please. Will like the answer if helpful!!

Write a class Point that represents a point on the screen. Hence it has an $x$ and $y$ coordinate $($which are integers$).$

You should write a class definition and the following functions $($you must decide if they are members or

friends$).$

$($a$)$ A constructor which is passed two integers, consider whether to use default values.

$($b$)$ A copy constructor.

$($c$)$ A translate function which is passed a Point and changes the coordinates using the passed in Point. If the

original point is $(x,y)$ and the point $(a,b)$ is passed in then the new coordinates $(x^{\text{'}},y^{\text{'}})$ are given by the formulas:

$x^{\text{'}}=x+a,y^{\text{'}}=y+b$

Note, this function can be implemented using operator overloading.

$($d$)$ A move to function. This function is passed a Point and moves the original point to the passed in Point.

$($e$)$ A rotate function which is passed an angle and rotates the point by that amount. If the original point is $(x,y$

and the angle of rotation is $,$ then the new coordinates $(x^{\text{'}},y^{\text{'}})$ are given by the formulas:

$x^{\text{'}}=xcos-ysin,y^{\text{'}}=xsin+ycos$

$($f$)$ A distance function that gives the distance between two points. The formula for the distance between $($x$,$y$)$

and $(x^{\text{'}},y^{\text{'}})$ is:

$\sqrt[\phantom{2}]{(x^{\text{'}}-x{)}^2+(y^{\text{'}}-y{)}^2}$

$($g$)$ A function that determines if a point is on a given line. The information for the line would be passed in as a

slope and a specific point on the line. Hint: use the point$-$slope formula for a line.

$($h$)$ Functions to access the $x$ and $y$ coordinates. There should be three such functions. One that returns the $x-$

coordinate, one that returns the y$-$coordinate and one that returns the Point.

$($i$)$ Functions to modify the $x$ and $y$ coordinates.

$($j$)$ Overload the assignment operator.

$($k$)$ A function called invert that switches the $x$ and $y$ coordinates.

$($l$)$ A function that is passed two points and finds the midpoint between them.

$($m$)$ A function to convert the point $(x,y)$ into polar coordinates $(r,).$ The conversion equations are:

$r=\sqrt[\phantom{2}]{x^2+y^2},=ta{n}^{-1}(\frac{y}{x})$

$($n$)$ Overload the input and output operators.