Question

Can the following points be on the graph of the equation x-y = 0? Explain

Answer 1

Hi there! I don’t see any answer choices listed, however this function takes place in the First and Third quadrants of an xy plane. This means that the values will either be at the origin (0,0) or equal numbers with the same sign. For example, (2,2), (-8,-8), and (1.38,1.38) would all be possible points. When looking at points that are given, plug x and y into your equation and see if they give the right answer. If you come across a value with different signs, such as (-4,4) or (9.3,-9.3), that will be excluded from the equation or line on a graph. PS. x-y=0 simplifies to x=y, which might make it a bit easier to look at, and on a graph y=x is simply a diagonal line across quadrants I and III. Let me know if you need any extra help!