What is a slope? They are to describe the steepness of the line. What do you think it is on the graph? Like the tangent ratio that we have solve in our trigonometry unit before. So, how would you figure that out? There are countess ways, such as looking at the graph and finding how many squares would help us to solve our rise and the run of the direction.

• Check this news article to understand the relationship of this unit: https://nypost.com/2020/08/03/toddler-may-be-youngest-climber-to-reach-top-of-10000-foot-mountain/

 

The rise is what we describe how many squares would go up to our given coordinate. While the run is how many squares would go to the right. However, if they are with a negative number, then we would go to the left for the run. And the rise would be dropping, like an elevator to their main floor. It would depend on what your two given coordinates are to form your straight line.

How would you find your slope intercept, if you are given your two points. Such as, (1,4) and (8,6), this could be solving to create a T-chart that would allow you to visualize for finding the pattern of these coordinates. The equation to this lesson is [the image that is inserted in this post] = 6-4 = 2. And on the bottom of this fraction would be 7 from our solving in 6-1 to give that answer. We could agree that the rise is two, while the run is 7 to go to each point to repeat the process, until our three coordinates would be given to this equation.

Now, what about vice versa? The coordinates that were given to us are S(4,6) and T(5,k) with our given slope of three. What are the steps that you would proceed with this equation, and does it look hard? It’s much easier than you think! Since, we could agree that three is equal to ³⁄₁, then our rise is three, while the run is just one. In order to get to our input value of 5, we could use the 4 to add by one, since they are our run. While the k-variable is unknown for what we could do is 6+3 (the positive three is what we rise up to) make it as 9. Which the ordered pair we have found is (5,9), and this coordinate let us plot in Quadrant I.

This is what it should look like, once you had check over them.

 

Their formula is always ʸ⁄ₓ, when we have viewed the red lines that are leading to the direction of being a positive. For instance, it’s going up by two and running by 7. This is our given slope, and our coordinates are listed for where their points are. My other fact is when the line is given with points that are a half of the graphing paper, then find the intercepts that give the whole value to solve our slope. It would be easier to manage and doesn’t stress you often to follow this fact of mine.