Problem Solving Made Easy (8th Grade)#3: How to graph a line given a point and a slope?
How to graph a line given a point and a slope?
"Solving math problem the easier way is intended to help students discover that learning math is easy. Be inspired and motivated with the hope it can sway them from having neutral opinions about math to liking it."
Hello friends. Today's post discusses the steps on "How to graph a line given a point and a slope." I made it sure that the language used in the presentation is user-friendly in the sense that it is easily understood by a reader who has at least an 8th-grade education (age 13-14). This aim to dispel the fear that some students have for Mathematics. As we all know Mathematics is one of the most important subjects in the curriculum, yet viewed as one of the most difficult one.
A brief review of the different types of slopes and their graphs.
Important points to remember based on the described slope and its graph.
- A positive slope indicates a line rising from left to right.
- A negative slope indicates a line falling from left to right.
- The slope of a horizontal line is zero
- A vertical line has no slope or undefined.
Take note of the difference between the phrase " zero slope " and "no slope ".
How to graph a line given a point and a slope?
Here are the steps:
- Step 1. Plot the given ordered pair
- Step 2. Use the slope formula to identify the rise and the run
- Step 3. Connect the two points with a line (draw arrows at the ends to show it continues).
Application:
Problem:
Graph the line that passes through A (2,3) and whose slope is
.
Solution:
- Step 1. Plot the given ordered pair A (2,3)
- Step 2. Use the slope formula to identify the rise and the run
Since the slope is
, move 1 unit up from A (2,3) and 4 units to the left to obtain the second point.
- Step 3. Then connect the two points with a line and draw arrows at the ends to show it continues.
Conclusion
Therefore shown below is the graph of the line that passes through A (2,3) and whose slope is . And since the slope given is negative (), it satisfies the statement that a "negative slope indicates a line falling from left to right."
So we're done! That's how to graph a line given a point and a slope. Thanks for learning with me. See you next time. Steem on!
References:
- Types of Slope
- Graphing a line given a point and a slope
- Textbook: Advanced Algebra, Trigonometry and Statistics
Images were all created by me. Thanks to MS Word and Paint.
"We live and learn, at any rate we live"
Good work guys
🙌 be consistent na lge sa math post nmu @fabio2614 tiba2 nka sunod ba..whahha nndot ang imong math post..
na!..ug jamoi magpasabak mam makalahutay ta aning hinan ayay sa math...plus ma apil pag dokdok....agoy 😅
Honestly, i don't like maths
I am paranoid about it
Great job you did here
a hahaha...but math like you my friend...😅
And your talent in writing is best, that I don't have. You also excel in tagalog post ...super wow😊
@mathowl I want to catch them all
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I could have used help like this in school!
I came here from Kryptonia @boboxer
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