in c++

Analyze and design the algorithm (including the pseudocode algorithm) for the problem below. Write the program and turn in the analysis, design, and source code. Let l be a line in the x-y plane. If l is a vertical line, its equation is x = a for some real number a. Suppose l is not a vertical line and its slope is m. Then the equation of l is y = mx + b, where b is the y-intercept. If l passes through the point (x0, y0,), the equation of l can be written as y y0 = m(x x0). If (x1, y1) and (x2, y2) are two points in the x-y plane and x1 x2, the slope of the line passing through these points is m = (y2 y1) / (x2 x1). Write a program that prompts the user to enter two points in the x-y plane. The program outputs the equation of the line and uses if statements to determine and output whether the line is vertical, horizontal, increasing, or decreasing. If l is a nonvertical line, output its equation in the form y = mx + b.

please have;

source code

name of program as a comment at the top of the file

IPO chart incorporated as comments after the name of the file

a screen shot showing the results of your testing