task+2

Task 2:

1) (0,9), (1,10), and (-1, 9) are all solutions to the system of inequalities.

2) (-2,6) is a point that is a solution to one of the inequalities but not the other one.

4) The purple shading switches to the other side because moving the line changes where the solutions to the inequality are. So if the solutions are in a different spot than before, a different spot will be shaded.

5) You would have to change the inequality to Y ≥ -13.2x + 7.27 to keep the purple shading on the right of the line.

10)
 * [[image:ndudek14algebra2cp/Algebra_Graph_Screenshot.jpg caption="Algebra_Graph_Screenshot.jpg"]] ||
 * Algebra_Graph_Screenshot.jpg ||

11) The blue green points (0,-2) and (3,-3) are solutions to the system of inequalities because they fall in the section of the graph where the two colors intersect.

12) Students may think that the points (0,1) and (1,3) are solutions but that is incorrect. Points on a line are solutions so they might think that those points are solutions to the system but to be a solution to a system, the points have to be in the section that is colored by both colors, not just one.

16) If this were a system of equations, the solution would be (-3, 5) because that is the point where the lines intersect.

17) y = -0.5x+3.5

Plug in one y of the point.

5= -0.5x+3.5 -3.5 -3.5

1.5=-0.5x /-0.5 /-0.5

x=3