WEBVTT
00:00:01.510 --> 00:00:07.880
The graph in the diagram represents the function 𝑓 of 𝑥 equals two 𝑥 minus seven.
00:00:08.640 --> 00:00:15.250
Without performing any calculation, use the graph to solve two 𝑥 minus seven equals zero.
00:00:16.850 --> 00:00:26.090
The point at which two 𝑥 minus seven equals zero is the point where it crosses the 𝑥-axis, where the 𝑦-coordinate is equal to zero.
00:00:27.410 --> 00:00:34.860
In this case, we can see that the function two 𝑥 minus seven crosses the 𝑥-axis at 3.5.
00:00:35.320 --> 00:00:39.250
Therefore, our solution is 𝑥 equals 3.5.
00:00:40.770 --> 00:00:47.760
We could check this by solving the equation two 𝑥 minus seven equals zero using the balancing method.
00:00:49.270 --> 00:00:54.370
Adding seven to both sides of our equation gives us two 𝑥 is equal to seven.
00:00:55.310 --> 00:01:05.970
And finally, dividing both sides of this equation by two gives us an answer 𝑥 equals seven divided by two, which is equal to 3.5.