A GUIDE FOR MATH LOVERS!

More about linear function

Now we are going to learn some advance linear functions.

y=mx+b  is the format of a linear function.

"b" is the Y intercept point.A Y intercept is the point that locates right on the Y axis and it has a major property,which is when X=0,the output of a linear function is always the term "b" which is the y intercept.Like the following examples:

They have differnt "b",so their positions are not the same.

 But they have the same propety,Which is they are all pointting at the same direction.Now we are going to take a close look at their "m" terms.They all share the same "m" term.It is the slope,slope is used to describe the steepness, incline, gradient, or grade of a straight line.That's why they point at the same direction.Let's see the examples below.

 

See?Now they are pointing at differnt directions because the slopes are different.

 Isn't that so interesting?

 I bet you are exciting,so let's do some practises.

Graph the following functions:

1.y=2x+5

2.y=-3x-2

3.2y=2X-1

See if you come up with these graphs:

1.

2.

3.

 

Linear functions are often used in science,and mathematic.

Now,the concept of linear function is finished.You can go to Advance functions to learn more!

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