Problem Solving Made Easy (8th Grade)#2: How to find the slope of a line?
Hello friends. This math post discusses the steps on how to find the slope of the line that passes through the given point. If there shall be any novelty in this post, it will be in the manner in which the content is presented. Many textbooks treat some of these relationships as a simple mathematical fact of life. At the teachable moment, it’s nice to be able to give a curious student a straightforward explanation whenever needed.
By the way, this post is likely to be understood by a reader who has at least an 8th-grade education (age 13-14).
What is a slope?
Relating this to real life, a ladder, for example, is constructed to give people access to go up to another level of the building. Suppose there are two ladders to choose your way up, which ladder is easier to climb?
Now the steepness of the ladder is referred to as the slope of the line. In Mathematics, the slope of a line is a number that describes both the direction and the steepness of the line.
It is the ratio of change in "y" to change in "x" and is sometimes called the ratio of "rise" to "run". This measure is often denoted by the symbol "m". To determine the slope you can use the coordinates of any two points on the line,
and
.
In Illustration:
How to find the slope of a line?
Simply use the formula : 
Here are the steps in solving for the slope of a line:
- Step 1: Identify two points on the line
- Step 2: Assign which is to be
and 
- Step 3: Substitute to the formula:
Application:
Problem:
Find the slope of the line passing through the points A( 2,3) and B(-3, -5), then Graph.
Solution:
- Step 1: Identify two points on the line
A( 2,3) and B(-3, -5)
- Step 2: Assign which is to be and
A (2, 3) as
and B(-3, -5) as
Note that it really doesn't matter which point we choose as Point 1 and Point 2
- Step 3: Substitute to the formula:
We now find the slope of the line which is 
.
Since we are also tasked to graph it, so here it is.
- Graph (only if asked)
Conclusion
The slope is positive . This means that the line slants 8 units up for every 5 units change to the right.
So we're done! That's how we find the slope of a line. See you next time.
References:
What is slope?
How to find the slope of a line
Illustration of a slope
Images were all created by me. Thanks to MS Word and Paint.
"We live and learn, at any rate we live"
Nose bleed ko anang math maam! Makes my head blow! Ka pila kaha ko ma slide anang slope maam hehehe!
a haha...pero sure pa grade 8 ra to nimo sir...karon bisag piyongan pa...aja!
Thank you for voting me as your Witness.
Maraming pong salamat.
opps...hi @yehey, you are very much welcome...and wow thank you for the gift...super happy po😅
Wala pong anuman.
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