Answers:Answer for A is 1Answer for B is 3Answer for C is 0.5Answer for D is Table.Step by step explanation: Figure shown graph of a lineTable of x and y value are given asX Y0 31 62 93 12The equation of a line is given as y=0.5x+1QA). What is the slope of the line in the graphAns.The slope is given as [tex]s=\frac{Y2-Y1}{X2-X1}[/tex]In the graph, the line passing through points (0,5)(-5,0)The slope of a line: [tex]s=\frac{Y2-Y1}{X2-X1}[/tex][tex]s=\frac{0-5}{(-5)-0}[/tex][tex]s=1 [/tex]The slope of the line in the graph is 1QB). What is the slope of the line in the tableAns.The slope is given as [tex]s=\frac{Y2-Y1}{X2-X1}[/tex]In the table, the line passing through points (0,3)(1,6)The slope of a line: [tex]s=\frac{Y2-Y1}{X2-X1}[/tex][tex]s=\frac{6-3}{(1-0}[/tex][tex]s=3 [/tex]The slope of the line in the table is 3QC). What is the slope of the line in the equationAns.The equation of a line is given as y=mx+cThe equation of a line is y=0.5x+1Where m= slopeOn comparing both the equation we get, m=0.5The slope of line in the equation is 0.5QD). Which has the greatest rate of changeAns.The slope of the line in the graph is 1The slope of the line in the table is 3The slope of the line in the equation is 0.5There, Rate of change is also called as the slope and it is greatest in case of the table.