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4. X and Y Graphs (for Bones)

The graphical concept of x- and y-intercepts is pretty simple. The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis. The problems start when we try to deal with intercepts algebraically.

To clarify the algebraic part, think again about the axes. When you were first introduced to the Cartesian plane, you were shown the regular number line from elementary school (the x-axis), and then shown how you could draw a perpendicular number line (the y-axis) through the zero point on the first number line. Take a closer look, and you'll see that the y-axis is also the line "x = 0". In the same way, the x-axis is also the line "y = 0".

Then, algebraically,

         an x-intercept is a point on the graph where y is zero, and

         a y-intercept is a point on the graph where x is zero.

More specifically,

         an x-intercept is a point in the equation where the y-value is zero, and

         a y-intercept is a point in the equation where the x-value is zero.


This is an example!

There are different types of lines when graphing. There are quadratic types of lines. And you can tell if it is quadratic if the line is swirly... like the one above.

You can graph linear equations or just equations using slop intercept... but these are only used on triangles (i think). :D


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