Math 1304 Name___________________________________ Rectangular Coordinate System and Graphs Directions: Please show enough work to justify your answers. State in which quadrant, if any, the point lies. 1) (13, 12) 1) 2) (-17, -6) 2) 3) (0, -2) 3) Find the x- and y-coordinates of the following labeled points. 4) 4) y 8 A 6 4 B -8 -6 2 -4 -2 2 4 6 8 x -2 -4 -6 -8 5) 5) y 8 6 4 R 2 -8 -6 -4 -2 2 4 6 8 x -2 S-4 -6 -8 Complete the ordered pair so that it is a solution of the given linear equation. 6) y = -x + 7; (4, ), (7, ), (0, ) 6) 7) y = -4x - 21; (-7, ), (-21, ), (0, ) 7) 8) x + y = 9 (5, ), (9, ), (0, ) 8) B-1 Complete the table of ordered pairs for the given linear equation; then plot the solution. 9) 4x + 2y = 8 9) y 8 4 x 0 y -8 -4 4 8 x -4 0 1 -8 -4 Graph the linear equation. 10) 5y = x - 4 10) y 10 5 -10 -5 5 10 x -5 -10 11) 5y + 20x = -30 11) y 10 5 -10 -5 5 10 x -5 -10 B-2 12) y = - 1 x-2 8 12) y 10 5 -10 -5 5 10 x -5 -10 Identify the intercepts. 13) 13) y 10 5 -10 -5 5 10 x -5 -10 14) 14) y 10 5 -10 -5 5 10 x -5 -10 B-3 Graph the linear equation by finding x- and y- intercepts. 15) 12y - 4x = -8 15) y 10 5 -10 -5 5 10 x -5 -10 16) 3x - 15y = 15 16) y 10 5 -10 -5 5 10 x -5 -10 B-4 Answer Key Testname: RECTANGULAR COORDINATE SYSTEM AND GRAPHS 1) 2) 3) 4) 5) 6) 7) 8) 9) I III y-axis A(5, 6); B(-7, 2) R(-5, 3); S(-2, -5) (4, 3) (7, 0) (0, 7) (-7, 7) (-21, 63) (0, -21) (5, 4), (9, 0), (0, 9) 12) y 10 5 -10 -5 5 10 x 5 10 x 5 10 x -5 y -10 8 13) (-3, 0), (0, 6) 14) (2, 0), (0, -8) 2 15) (0, - ), (2, 0) 3 4 x y 0 4 2 0 1 2 4 -4 -8 -4 4 8 x -4 y 10 -8 5 10) y -10 10 -5 -5 5 -10 -10 -5 5 10 x 16) (0, -1), (5, 0) y -5 10 -10 5 11) y -10 10 -5 -5 5 -10 -10 -5 5 10 x -5 -10 B-5