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. PRE-CALCULUS DO PROBLEMS ON LOOSE LEAF . . Find the coordinates of the point where the line 4x-3y = 18 intersects the axes. 2. Find the length of CD given the points: a) C(-2,-1) and D(4,9) b) C(7/2, -1) and D(-5/2, 7/2) A (-1.2.3) B. Which of the following points are on the graph of -5x +4y = 187 B13, -3/4) C (-18, (4) D(-6,-3) x-3y = . Solve the equation pair and sketch the graph and Intersection point: al and 5x ty = -8 b) -2x-6y =18 and x - 3y=6 . Plot the points and use the distance formula to show that figure ABCD Is a square. A(-6,3) B( -1,6) " c(2;1) and D(-3,-2) Are the diagonals equal? . . . Find the slope of the line joining the points whose coordinates are given: a) .(8,6) and (-7,5) b) (-1/3,2) and (1/4,-1/3) 7. Find the slope and the y-intercept of the line whose equation is: 3x + 9y =: 7 . For the three lines whose equations are given, state which are parallel and which are perpendicular; 'By = 5x - 5 y =:3/5x +4 .. 10y= -6x:7 2. Find the value of k if the line joining (4,k) and (6,8) and the lline joining (-1,4) and (0;8) are a) parallel b) perpendicular 0. Find the length of CD and its midpoint: C(1.7,5.7) and D(-2.3,5.7) . Plot the points and use the midpoint formula to show that the diagonals of ABCD have the same midpoint. '-A(5,1): . B(7, -1) . C(1,-3). D(-1,-1) 12 Extra: Given: A = (X1> >1), B = (x2, )2) M is the midpoint of AB. 5 ( * : 1 2 ) P is the midpoint of BC. Q is the midpoint of AC. Prove: a. P = (.x2, 21+ 12) b. Q= =1+ 12 . c. Points M and P have the same y-coordinate. d. Points M and Q have the same xx-coordinate