Let l be a line in the x-y plane. If l is a vertical line, its equation is x = a for som...

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 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.