Why does the equation "y=0" have a graph that is the x-axis?

Question

Can you give some explanation too?

Thanks for your time!

Answer 1

It's basically because all points on the x axis have a y coordinate of 0 (and no other ones would) so when it says "y = 0" they mean graph all points that have a y coordinate of 0, which is the x axis.

Answer 2

Because a graph is set up as a vertical line which is typically labeled "y"

The horizontal axis on the graph is labeled "x"

The point where these 2 axis meet is zero



The vertical line, axis "y" is like a number line. At the bottom of that line, where it meets with the horizontal axis, "x", that is the zero and as you go up, towards the sky, the numbers get larger, just like on a horizontal number line.



So, zero on the "y" axis, is at the point where the x and y axis meet which is zero for both x and y



l y axis

5 l

l

l

l

l

0 l ______________________ x axis

0 5



Of course the y axis should be a solid line like the x axis but i can't draw a solid line with my keyboard.



So you can see where the zeros are so if y is at zero, it is at the x axis.

Answer 3

X is constantly 0 and y can take any value. Therefore y extends to positive and negative infinity and takes the x axis. The x axis is where y is zero.