2 class lineTypeInstructions3 {4 public:The equation of a linein standard form is axvoid setline (double a = 0, double b = 0, doublec =e);+ by = c, whereinboth a and b//Function to set the line.78void equation() const;cannot be zero, and9a, b, and c aredouble getXCoefficient() const;10real numbers. If b#0,double getYCoefficient() const;11then -a/b is the slopedouble getconstantTerm() const;1213of the line. If a = 0,14void setXCoefficient (double coeff);then it is a horizontal15void setYCoefficient(double coeff);line, and if b = 0, then16void setConstantTerm(double c);it is a vertical line. The17slope of a vertical linedouble slope() const;18is undefined. Twolines are parallel if19//Return the slope. This function does not checkif the20//line is vartical. Because the slope of athey have the samevertical lineslope or both are//is undefined, before calling this function21vertical lines. Twocheck if thelines are22//line is nonvertial.23perpendicular if24bool verticalline() const;either one of the lines25bool horizontalline() const;is horizontal and the26other is vertical or thebool equallines (lineType otherLine) const;27product of their//Returns true of both lines are the same.2829slopes is -1. Designthe class lineType30bool parallel(lineType otherLine) const;31//Function to determine if this line is parallelto store a line. Toto otherLine.store a line, you need32to store the values of33bool perpendicular(lineType otherLine) const;a (coefficient of x),b (coefficient of y),and c. Your class34//Function to determine if this line isperperdicular to otherLine.3536void pointofIntersection(lineType otherLine);must contain the37//If lines intersect, then this function findsfollowing operations:the point38//of intersection.• If a line is3940lineType (double a = 0, double b = 0, double c = 0);nonvertical, then41//Constructordetermine its42slope.43 private:44double xCoeff;• Determine if twodouble yCoeff;45lines are equal.double constTerm;4647bool hasslope;(Two lines a,x +48 };b,y = c, and azX +49bzy = C2 are equalif either a, = a2, b,= b2, and c, = C2, ora, = kaz, b, = kb2and c, = kc2, andfor some realnumber k .)• Determine if twolines are parallel.• Determine if twolines areperpendicular.• If two lines are not to store the values ofa (coefficient of x),b (coefficient of y),and c. Your classmust contain thefollowing operations:• If a line isnonvertical, thendetermine itsslope.• Determine if twolines are equal.(Two lines a,x +b,y = c, and a,x +bzy = C2 are equalif either a, = a2, b,= b2, and c, = C2, ora, = kaz, b, = kb,and c, = kc2, andfor some realnumber k .)• Determine if twolines are parallel.• Determine if twolines areperpendicular.• If two lines are notparallel, then printthe point ofintersection. Theintersectionmethod shouldindicate one ofthree options: Theintersection pointin the format: (x,y) . A messageindicating Bothlines are equal. Amessageindicating theLines do notintersect.Add appropriateconstructors toinitialize variables oflineType . Also, writea program to testyour class .

Code for class LineType: #include <iostream> using namespace std; class LineType { public:…

2 class lineType | Instructions 3 { 4 public: The equation of a line in standard form is ax void setline(double a - 0, double b - 0, double c - e); + by = c, wherein //Function to set the line. both a and b 8 void equation() const; cannot be zero, and 9 a, b, and c are real numbers. If b=0, 10 double getXCoefficient() const; double getYCoefficient() const; double getcOnstantTerm() const; 11 then -a/b is the slope 12 13 of the line. If a = 0, void setXCoefficient(double coeff); void setYCoefficient(double coeff); 14 then it is a horizontal 15 line, and if b = 0, then 16 void setConstantTerm(double c); it is a vertical line. The slope of a vertical line is undefined. Two 17 18 double slope() const; 19 //Return the slope. This function does not check if the lines are parallel if they have the same slope or both are 20 //line is vartical. Because the slope of a vertical line 21 //is undefined, before calling this function vertical lines. Two check if the lines are 22 //line is nonvertial. 23 perpendicular if 24 bool verticalLine() const; either one of the lines 25 bool horizontalline() const; is horizontal and the 26 other is vertical or the bool equallines(lineType otherLine) const; 27 product of their slopes is -1. Design 28 //Returns true of both lines are the same. 29 the class lineType 30 bool parallel(lineType otherLine) const; 31 //Function to determine if this line is parallel to store a line. To to otherLine. store a line, you need 32 to store the values of 33 bool perpendicular(lineType otherLine) const; a (coefficient of x), //Function to determine if this line is 34 perperdicular to otherLine. b (coefficient of y), and c. Your class 35 void pointofIntersection(lineType otherLine); //If lines intersect, then this function finds the point 36 must contain the 37 following operations: 38 //of intersection. • If a line is 39 40 lineType (double a - 0, double b = 0, double c - 0); nonvertical, then 41 //Constructor determine its 42 slope. 43 private: 44 double xCoeff; • Determine if two double yCoeff; 45 lines are equal. 46 double constTerm; 47 bool hasslope; (Two lines a,x + 48 }; b,y = c, and a,x + 49 bay = C2 are equal if either a, = a, b, = b2, and c, = C2, or a, = kaz, b, = kb, and c, = kc2, and for some real number k .) Determine if two lines are parallel. • Determine if two lines are perpendicular.