Answer the following questions: a. How would you describe the graphs of (a) 3x + y = 5 and 2x + y = 9; (b) 3x - y = 4 and y = 3x + 2 and (c) x + 3y = 6 and 2x + y = 127 Which pair of equations has graphs that are intersecting? b. How many points of intersection do the graphs have? What are the coordinates of their point(s) of intersection? c Which pair of equations has graphs that are not intersecting? Why? How do you describe these equations? d. How many solutions does each pair of equations have? 2.1) 3x + y = 5 and 2x + y = 9 d.2) 3x-y=4 and y = 3x + 2 d.3) x + 3y = 6 and 2x + y = 12 e. What is the slope and the y-intercept of each line in the given pair of equations? e.1) 3x + y = 5; slope = -y-intercept = 2x + y = 9; slope = y-intercept = e.2) 3x-y=4; slope y-intercept = y = 3x + 2; slope = y-intercept = e.3) x + 3y = 6; slope = y-intercept = 2x + 6y = 12; slope = y-intercept = f. Compare the slopes of the lines or graphs defined by the pair of linear equations? How about their y-intercepts? g. What statements can you make about the solution of the system of linear equations in relation to the slopes of the lines? How about the y-intercepts of the graph? h. How is the system of linear equations in two variables used in solving real-life problems and in making decisions?