**Slope Between Two Points**

The slope of a line is nothing but how slanted the line is. In order to find the slope of a straight line you need to know any two points on the line. You may be asking yourself "does it matter which two points I choose?" and the answer is no. If you choose any two points on the line, and I choose two other points we will sill get the same slope.

Your teacher might have told you that the slope is the **rise/run**. What in the world does that mean? Well the rise means how many units did you rise from your first point to get to your other point. In other words, **rise is the change in the y-value of your two points.**

Run means how many units did you "run" on the x-axis to get from your first point to your second point. In other words,

**run is the change is the x-Value of your two points**. Let's look at an example together.

**Example**

Let's look at the example on the left. You have a line that passes through many points. To find the slope you have to choose two points. Let's choose **(1,1) and( 2,3).** (Points are highlighted on the graph)

To find the slope we need to know two things:**1. The change in the y-values of both points2. The change in the x-value of both points**

1. The y-value of the first point is 1 (remember we label points x,y) the y-value of the second point is 3.

To get from 1 to 3, how many units did we "rise"? If you said 2 you are right.

**(rise=2)**

2. The x-value of the first point is 1, and the x-value of the second point is 2. To get from 1 to 2 how many units did we "run"? If you said 1 you are correct.

**(run=1)**

3.

**The slope**is= rise/run=2/1=

**2**

**Slope Formula**

Another easy and convenient way of finding the slope between any two points is by using the slope formula (see picture on left). Y2 and Y1 refer to the y-value of your first and second points. X2 and X1 refer to the x-value of your first and second point.

**Warning:** You must be consistent with your points. If you name the Y-value of your first point Y1 you MUST name your x-value of your 1st point X1. It does not matter which point you choose for 1 or 2 as long as you stay **CONSISTENT**.

**Test Your Slope Skills**

You think you mastered this topic? Check your skills by taking this short online quiz. http://cs.selu.edu/~rbyrd/math/slope/slo_ty.html