c++ is the language

Problem 3. (max 100 points) The table below summarizes three commonly used mathematical models of nonvertical straight lines. Mode Equation Given Two-point form (x1, y1), (X2, y2) Y2 - Y1 m = X2 - X1 y - y1 = m(x x1) Point-slope form 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 E Do another conversion (Y or N) => Y 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) => 1 Enter the x-y coordinates of the first point separated by a space=> 3 Enter the x-y coordinates of the second point separated by a space=> -21 TWO-point form (1.00 - 3.00) (-2.00 -4.00) 5 of 6 Slope-intercept form the porn separateu by a Dancer the coordinates or space=> 1 1 Point-slope form y - 1.00 = 4.20(x - 1.00) Slope-intercept form y = 4.20x - 3.20 E Do another conversion (Y or N) => Y 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) => 1 Enter the x-y coordinates of the first point separated by a space=> 4 3 Enter the x-y coordinates of the second point separated by a space=> -21 TWO-point form (1.00 - 3.00) (-2.00 -4.00) slope-intercept form y = 0.33x + 1.66 Do another conversion (Y or N)=> N Implement the following functions: getProblem-Displays the user menu, then inputs and returns as the function value the problem number selected. get2PtPrompts the user for the x-y coordinates of both points, inputs the four coordinates, and returns them to the calling function through output parameters. getPtslope-Prompts the user for the slope and x-y coordinates of the point, inputs the three values, and returns them to the calling func- tion through output parameters. slope IntcptFrom2PtTakes four input parameters, the x-y coordi- nates of two points, and returns through output parameters the slope (m) and y-intercept (b). intcptFromPtslopeTakes three input parameters, the x-y coordinates of one point and the slope, and returns as the function value the y-intercept. display2Pt-Takes four input parameters, the x-y coordinates of two points, and displays the two-point line equation with a heading. displayPtslopeTakes three input parameters, the x-y coordinates of one point and the slope, and displays the point-slope line equation with a heading. displayslope IntcptTakes two input parameters, the slope and y- intercept, and displays the slope-intercept line equation with a heading. Program Design and Style: max 30 points Program code: max 40 points Program Outputs: not less than 6, max 30 points 6 of 6