# Applications of Linear Equations - Concept

We often see math applied to the real world through word problems, and the applications of linear equations are seen throughout all our math courses after Algebra. To understand **applications of linear equations** we need to have an understanding of slope, how to interpret a graph, and how to write an equation. In upper-level Algebra, we apply systems of linear equations to these problems as well.

I'm a math teacher.

And one of the things students ask me all

the time is when are we going to use

this in the real world?

And a lot of the times, you guys, you

really do use math in the real world.

And one of the situations you're going to

see those kind of situations in your

math class is using graphs that describe

linear equations or word problems.

When you're looking at a word problem or

a graph that describes a word problem,

there's a bunch of things

to keep in mind.

One thing to be really sure you're aware

of is the scale on the X and the Y

axis.

By scale, that means how much

are you counting by?

Are you counting by 5s

or counting by 500s.

That's something that's really important

in terms of the real world context.

Along those same lines, pay

attention to the units.

Units meaning are you looking at how much

you're paying in dollars or pounds

or yen or cents or

whatever it is.

All those kinds of units are really important

to keep in mind especially when

you get to the slope.

One of the most common graphs of word

problems is about slopes of distances

and times, because the slope

is distance per time. It's the rate.

It's how fast you're traveling.

So a lot of times you're going to be asked

to interpret the slope of a word

problem graph.

Another thing I want you guys to keep in

mind is the intercepts and what the

intercepts mean on a graph.

Keep in mind that the X intercept means

the Y quantity is equal to

0 .Y intercept means X quantity is equal to 0.

When you're looking at graphs all of these

things are really important to keep in

mind and it will help you connect

this math to the real world.

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