Problem 3. (max 100 points) The table below summarizes three commonly used mathematical models of nonvertical straight lines. Mode Equation Given Two-point form y2-yi X2 - X1 (X1, y), (x2, y2) m = Point-slope form y - y1 = m(x - x1) m, (x1, y1) Slope-intercept form y = mx + b m, b Design and implement a program that permits the user to convert either two-point form or point-slope form into slope-intercept form. Your pro- gram should interact with the user as follows: Select the form that you would like to convert to slope- intercept form: 1) Two-point form (you know two points on the line) 2) Point-slope form (you know the line's slope and one point) => 2 Enter the slope=> 4.2 Enter the x-y coordinates of the point separated by a space=> 1 1 Point-slope form y - 1.00 = 4.20(X - 1.00) slope-intercept form y = 4.20x - 3.20