Working With Intercepts in Math

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Working with intercepts in math is only as hard as you make it. Learn about working with intercepts in math with help from a mathematics educator in this free video clip.

Part of the Video Series: Mathematics Lessons
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Hi. I'm Jimmy Chang and we're here to talk about working with intercepts in math. Now intercepts area a very useful concept because it lets you see where a function touches the x axis as well as the y axis. Now, it can be as many simple graphs as lines, all the way through parabolas or more complicated graphs. But some graphs only touch the x axis, some graphs only touch the y axis. Some will do both. Now for purpose of demonstration and simplicity here, we're going to talk about using lines and seeing how you can use intercepts and their graphs as a result. So for example, if you have three x plus four ys equal to twelve for example, you have intercepts that are the x intercepts as well as the y intercepts. Now, regardless of which one you want to find, the pattern is fairly consistent. Suppose you want to find for example, the x intercept. Now, no matter what the function is, line or otherwise, To find the x intercept, you always let the y equal to zero. So, to find the x intercept you let the other variable be zero. So in this particular case you have three x plus four times y zero, equals to twelve. Now, you have three x, four times zero is zero, so we're not going to write is anymore, equal to twelve. Now, as you can tell, so for x you divide by the size by three, so that means x is going to equal to four. So, that means the x intercept, the x equals to four. That means four zero is a point on this graph. Now, to find the y intercept, you do the exact same thing as you did with the x intercept, except that, like I said before, let the other letter, the other variable equal to zero. That means let x equal to zero. So, in this case you're going to have three times x to zero, plus four y equals twelve. Now, you know that three times zero is going to be zero, which we're not going to write. So, we have four y equals to twelve and to solve for y you divide both sides by four. So, that means y is equal to three. That means that zero three is a point on the graph and since this equation's out of a line, you have two points that you can graph very conveniently and you can graph a line fairly well. So, I'm Jimmy Chang and that's an illustration on working with intercepts in math.

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