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 ( x ₀ , y ₀ ,), the equation of l can be written as y – y ₀ = m ( x – x ₀ ). If ( x ₁ , y ₁ ) and ( x ₂ , y ₂ ) are two points in the x-y plane and x ₁ ≠ x ₂ , the slope of the line passing through these points is m = ( y ₂ – y ₁ ) / ( x ₂ – x ₁ ). 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 .

Answer rating: 100% (QA)

Input End point coordinates of the line Output equation of the line Equations y mxc ... View the full answer