WEBVTT
00:00:00.660 --> 00:00:05.310
Which of the following figures is the correct graph of 𝑦 equals 𝑥?
00:00:05.680 --> 00:00:11.330
Is it graph A, graph B, graph C, graph D, or graph E?
00:00:12.970 --> 00:00:20.230
All five graphs show the equation 𝑦 equals 𝑥, as they have an intercept of zero and a gradient of one.
00:00:21.260 --> 00:00:30.430
However, as graphs A, B, C, and E have a shaded region, they all contain an inequality and not an equality.
00:00:31.610 --> 00:00:36.630
This means that the figure that shows the graph of 𝑦 equals 𝑥 is figure D.
00:00:38.560 --> 00:00:46.220
As figures A and B have an area shaded above the line 𝑦 equals 𝑥, the 𝑦 must be greater than 𝑥.
00:00:47.050 --> 00:00:56.190
In figure A, there is a bold line this means the inequality that is shown in figure A is 𝑦 is greater than or equal to 𝑥.
00:00:56.690 --> 00:01:02.600
In figure B, as we have a dotted line, we can say that 𝑦 is greater than 𝑥.
00:01:04.070 --> 00:01:12.170
In the same way, figure C shows that 𝑦 is less than 𝑥 as we have shaded below the line and we have a dotted line.
00:01:12.940 --> 00:01:22.440
Figure E shows that 𝑦 is less than or equal to 𝑥 as we have a bold line and, once again, have shaded below the line 𝑦 equals 𝑥.
00:01:23.930 --> 00:01:32.440
This means that figures A, B, C, and E show inequalities whereas figure D shows the equation 𝑦 equals 𝑥.