12 Which equation matches each graph Describe each graph in terms of its slope and y intercept b y 3 x 2 d y 3 x 2 a y 3 2 x 1 c y 3 2 x 1 Graph A Graph B y 4 2 b Graph C 0 2 4 14 Match each graph with its equation Justify your choice a 2 2 0 0 2 0 y f x 6 ly 2 13 How does the graph of y y m x x compare with the graph of y y m x x Include examples in your explanation 0 2 Graph D 2 X 0 2 y 1 2 x 2 y 2 2 x 1 y2 2 x 1 y 1 2 x 2 X y g x y 1 x 2 1 y 2 x 1 y 1 3 x 2 2 c a y 4 b y h x 2 0 7 10 b y 3 c y 1 4 d y y 2 3 2 35 2 x 8 15 Use a graphing calculator or a computer with graphing software Graph each equation Sketch or print the graph Write instructions that another student could follow to get the same display x 5 x y 1 x 2 3 y 1 y 1 Volume of Liquid mL 10 20 2 y 2 x x 11 x 2 x 2 0 375 x 4 0 5 x 6 3 16 Chlo conducted a science experiment where she poured liquid into a graduated cylinder then measured the mass of the cylinder and liquid Here are Chlo s data Mass of Cylinder and Liquid g 38 9 51 5 a When these data are graphed what is the slope of the line and what does it represent b Choose variables to represent the volume of the liquid and the mass of the cylinder and liquid Write an equation that relates these variables c Use your equation to determine the mass of the cylinder and liquid when the volume of liquid is 30 mL d Chlo forgot to record the mass of the empty graduated cylinder Determine this mass Explain your strategy