We will need to group the x variables on one side of the equation and the y-variable on the other.

Add  on both sides.

Add  on both sides.

Divide both sides by 9.

The slope is .

To find the slope, rewrite the equation in slope intercept form.

Add  on both sides.

This is the same as:  

This means that the slope is .

The answer is:  

Simplify the equation so that it is in slope-intercept format.

The simplified equation is:  

The slope is:  

Recall that slope is calculated as:

This could be represented, using your two points, as:

Based on your data, this would be:

There are two ways that you can do a problem like this.  First you could calculate the slope from two points.  You would do this by first choosing two values and then using the slope formula, namely:

This could take some time, however.  You could also solve it by using the slope intercept form of the equation, which is:

If you get your equation into this form, you just need to look at the coefficient .  This will give you all that you need for knowing the slope.

Your equation is:

What you need to do is isolate :

Notice that this is the same as:

The next operation confuses some folks.  However, it is very simple.  Just divide everything by .  This gives you:

You do not need to do anything else.  The slope is .

To determine the slope, we will need the equation in slope-intercept form.

Subtract  from both sides.

Divide by negative three on both sides.

The slope is:  

There are two ways that you can do a problem like this.  First you could calculate the slope from two points.  You would do this by first choosing two values and then using the slope formula, namely:

This could take some time, however.  You could also solve it by using the slope intercept form of the equation, which is:

If you get your equation into this form, you just need to look at the coefficient .  This will give you all that you need for knowing the slope.

Your equation is:

What you need to do is isolate :

Notice that this is the same as:

The next operation confuses some folks.  However, it is very simple.  Just divide everything by .  This gives you:

Now, take the coefficient from .  It is .  

You can reduce this to.  This is your slope.

To find the slope of a line, we will look at the line in slope-intercept form:

where m is the slope and b is the y-intercept.

Now, given the line

we can see that .

Therefore, the slope of the line is -8.

The slope of a line is defined to be the ratio of rise (vertical change, or change in the value of ) to run (horizontal change, or change in the value of  ). 

The -intercept of the line can be seen to be at the point five units above the origin, which is . The -intercept is at the point three units to the right of the origin, which is . From these intercepts, we can find slope  by setting  in the formula

The slope is

Rearrange the terms so that it's in slope-intercept form.

The slope is the .  Add three on both sides.

Subtract  from both sides.

The answer is: