The slope of a line can be found using the formula:

Remember that points are written in the format:

For the given points, 

Remember that subtracting a negative number is the same as adding a positive number.

Simplify.

Reduce.

The slope of a line can be found using the formula:

Remember that points are written in the format:

For the given points, 

Remember that subtracting a positive number from a negative number is the same as adding a negative number.

Simplify.

Reduce.

The slope of a line can be found using the formula:

Remember that points are written in the format:

For the given points, 

Remember that subtracting a negative number is the same as adding a positive number.

Simplify.

The slope of a line can be found using the formula:

Remember that points are written in the format:

For the given points, 

Remember that subtracting a negative number is the same as adding a positive number.

Simplify.

Reduce.

The slope of a line can be found using the formula:

Remember that points are written in the format:

For the given points, 

Remember that subtracting a negative number is the same as adding a positive number.

Simplify.

Reduce.

What is the slope of the line that passes through the following points?

 and 

Calculate slope using the following formula:

Note that it isn't important which point you choose as "1" and which point you choose as "2." All that matters is that you keep it consistent.

So our slope is 

To find the slope between two points, use the slope formula:

Plug in these values into the slope formula and solve.

To find the slope of a line that travels through any two points, we always use the same formula:

Any time we are given a set of points on a line, they are written out as follows: . The  value is always listed first, followed by the y value. 

When you are given two sets of points, you can find the slope of the line that travels through the by plugging in the values you were given into the slope formula. Let's try it ourselves. 

Pick one of the two sets of points that you were given as your starting point. It doesn't matter which set you start with, so let's use . is an  value, and  is a  value; since this is the first set we chose, let's say  is , and  is . Let's plug these two values into our formula for now:

Now, let's fill in the rest of the formula with the values from our set set of points, .

Since we're using this set second,  will be , and -3 will be :

Now, we just need to simplify:

So, the slope of our line is . 

**Remember, it doesn't matter which set of points you use first or second, as long as you make sure you do not mix up the order that you use the values in. For example, if you used  as , you MUST use  as , NOT . Values that come from the same set of points must be used to replace variables with the same sub-value.

The formula for the slope of a line is .

All we need to do is plug in our values and solve for m.

Therefore, to solve, we get

The slope of a line is a measure of the rate of change of the incline of a line. Slope is more commonly taught as "rise over run". This kind of problem can be easily solved for by using the simple formula for slope. 

, where  denotes slope. Rise denotes change in the y-axis where run denotes change in the x-axis. This makes sense because rise indicates a vertical change while run indicates a horizontal change.

The given points may be arbitrarily assigned as  and . For this problem we will assign  as  and  as . 

Therefore,