Answer
part a: (0,-7.5)
part b: (30,0)
part c: x=10
part d: x=-10
part e: y=-2.5
Work Step by Step
part a: By looking at the graph, the y-intercept is where the line intersects the vertical axis. That would be -7.5. Written in proper form as an (x,y) coordinate, the answer would be (0,-7.5).
part b: By looking at the graph, the x-intercept is where the line intersects the horizontal axis. That would be 30. Written in proper form as an (x,y) coordinate, the answer would be (30,0).
part c: We know that we are looking for the x value that makes y=-5 true. (x,-5) is a better way to visualize this. At y=-5 on the graph, the line reaches 10 on the x-axis.
part d: We know that we are looking for the x value that makes y=-10 true. (x,-10) is a better way to visualize this. At y=-10 on the graph, the line reaches -10 on the x-axis.
part e: We know that we are looking for the y value that makes x=20 true. (20,y) is a better way to visualize this. At x=20 on the graph, the line reaches -2.5 on the y-axis.