# Intercepts of Linear Equations - Concept

The x- and y-intercepts of a line, or linear equation intercepts, are often used in problems involving lines and their graphs. Linear **equation intercepts** are important points to be able to understand and decipher in applications of linear equations problems and can also be used when graphing lines. The y-intercept is used when writing an equation in slope-intercept form.

X and Y intercepts are extremely

important in your study of math.

Before you can get into a good depth of

algebra, you really need to understand

the ideas of X and Y intercepts and

how to find them both from a graph

and from an equation.

So what I have here is just

like a really rough graph.

I just drew a line up there.

There's no numbers or anything.

But what I wanted to show you is that when

you're looking at a graph, you can

find the Y intercept by looking on the

Y axis and seeing where your line

crosses it. That's the Y intercept.

And the X intercept is here. It's where your graph

crosses the X axis.

I'm using int to abbreviate for intercept.

When you think about the coordinates of

this, on your Y intercept, it's going

to be 0 for X, because I'm going 0

side to side and then I'm going up

some number Y. I don't know what

that number is on this particular

graph. But your Y intercept is always when

X is equal to 0. So if all you had

was an equation you would substitute

X equals 0 in order to find your

Y intercept.

Similarly, the value of the coordinates

of the X intercept are going to be some

X value comma 0 for Y. So if I have

an equation and I'm asked to

find the X intercept, I would plug

in Y equals 0.

Before I leave you guys, I want to tell you about one

of the tricks with intercepts is

remembering that to find the X intercept

you'll get Y equals 0. To

find the Y intercept you'll get X

equals 0. It's kind of tricky

but if you can keep it straight in your

head I think you'll do fine on

these problems.

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