# Algebra Equations :: Linear Equations and How to Solve Them

## Parts of a Linear Equation

There are three major parts of a linear equation:

y and x--the variables

m--the slope-This is how much a line goes up or down divided by every unit that it goes side to side. Example: if a line goes up 2 and to the right 1, then the slope is 2. If it goes up 3 and to the right 4, then the slope is 3/4. A line that goes up and to the right has a positive slope, a line that goes down and to the right is a negative slope.

b--the y-intercept-The place where the line hits the y-axis (the vertical line)

## Form of a Linear Equation

The general form of an equation is:

y=mx+b

so if you had a slope of 4, and a y-intercept of 5, then your equation would be y=4x+5

## Writing an Equation from a Graph

Lets take the graph to the right. If you identify where the y-intercept is. You can see that it is at 1. Then you count how much it goes up and how much it goes side to side. You can see that it goes up 2 and to the right 1. Therefore the slope is 2/1, or 2. Using our form

y=mx+b

we can replace the b with 1 and the m with 2. So our answer is:

y=2x+1

Lets take a look at this line. Again, the first step is to identify the y-intercept. In this case, it is 2. Next we need to identify the slope. If we start at (0,2) and follow the line, the next point you can find is (3,1). This means that the line went down, or negative, 1 and to the right 3. This means the slope is -1/3. So our line is:

y=-1/3x+2

Feel free to comment with specific questions!

Vote up or comment if you found it helpful!

## More by this Author

- 3
Chemical reactions take place at the molecular level, when the atoms and molecules of the things you start with (reactants) turn into something new (products). All chemical reactions can be split generally into six...

- 5
A fractal is defined as a "rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," according to their...

- 7
A logical fallacy is an error in the reasoning process, not in the veracity of the premises. Therefore, logical fallacies are not factual errors, nor are they opinions. They are attempts to bypass the steps of a logical...

## Comments

No comments yet.