05 - The Slope Intercept Equation of a Line, Part 1 (Slope Formula, Y-Intercept & More)
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- Опубликовано: 9 сен 2024
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In this lesson, you will learn how to write the equation of a line using the slope intercept form.
In order to do this, we must first use the slope formula to calculate the slope of the line, then we find the y-intercept and use y=mx+b to write the slope intercept form of the equation of a line down.
Knowing some of the calculations are very easy for us but still Mr. Gibson teaches students from the scratch. That is the beauty of his teaching skills. I really love you Sir.
Not tryna be rude but,do you have a crush on him?
@@briannacarson4483 Not rude but this is funny ☺️
I have crush not on him but his teaching skills. His fundamentals are so clear..
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@@briannacarson4483 he may not but i do. check him out when he was younger 😍😍😍😍😍😍
There are o lot of teachers who are so bad at teaching this that they don't explain their calculations or even finish finding the SLF, they just leave it incomplete, I'm glad this guy is actually competent.
I thought another RUclips tutorial was good, but you're the best so far.
indeed
Good teacher. 24:18 😊
Been trying to figure all this out for a week and never was able to wrap my head around all this, then watched a couple hours of your videos and got it all figured out. Thank you will look for more of your videos.
Mr.Gibson (got his name from the comments, so I'm hoping it's correct) hands down has the best teaching skills..great job!
Really appreciate it!
I am thankful to have found Math and Science. After many attempts to wrap my head around slopes and functions, I can finally understand! Thanks so much!
You are truly explaining by heart and trust me this helps a lot. Thank you
Professor Gibson, I am so grateful for your videos. As a student in college I don't have a lot of money for tutoring. Thank you for making these videos.
I find it interesting that a slope of 1 is always a 45 degree angle. Makes me wonder if the other slopes match up with the other trigonometric angles. A slope of one cuts a square in half corner to corner, left bottom to top right, creating two similar triangles, only rotated. This leaves a right angle of 90 degrees for each triangle in the square. Length of sides are both 1, and the bisector line measures the square root of 2.
Seems to me that if the graph paper is measured exactly in units both in the vertical and horizontal direction; and there isn't a slant to those grid lines; then you'd be able to match up, say a slope of 3 to a specific angle EVERY TIME. I don't know how this could be useful; but it seems like it would be. That slope, being the longest side of a triangle, would also be the hypotenuse, which sits directly across from angle theta.
Thus, now, it seems that the slope intercept form, the standard form, unit circles, and right triangles all have something tying them together.
I just realized that every slope SIMPLIFIED will give a UNIQUE RATIO of sides. Thus, I think you really CAN predict things like measurement of triangles and unit spheres (in 3 Dimensions). Because of geometry, you can figure out what OUTSIDE angles are, therefore, it seems like you might be able to measure the SPACE AROUND AN OBJECT AS WELL.
You are exactly correct.the tangent of an angle is just the slope of that hypotenuse because tangent is equal to opposite side over adjacent side, which is rise over run!
Your video is better than every video I have seen so Your videos have become a future for me
I really appreciate this!
I just want to thank you for all your videos, these have helped me SO much.
This lesson is AMAZING! 👏THANK YOU SO MUCH!!!
I failed algebra twice I wish I had found you back then it would have really helped me
I am taking College Algebra and you have been helping me get through this class. Thank You so Much!
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I just want to ask this, would it be correct if I derived Y = MX+B in this way ? -
Let the y-intercept be (0,B). Let another point be (X,Y). Then, the slope here -"Slope =M = Rise/Run = (Y-B)/X-0".
Since X-0 is X, you can multiply X to both sides right ? Then the equation becomes - "MX= Y-B".
Then it could become - "MX+B = Y(By adding y to both sides)".
Also, I think this also explains why m is the slope in the equation -"Y= MX+B".
Yes exactly! Great job!
@@MathAndScience Thank you !
This finally makes sense. Thank you!
Amazing, great explanation, thanks to you I understood everything
I love the way Jason explains this (and many other things). He may have covered this earlier, but at about 3: 45 in the video:
For the 4x/2 + 12/2 simplification, I think the simplification works because 4x = 4* 1x .
So, then what's happening is:
4/2 * 1x/1.
or 4* 1x /2*1
No need to worry about the multiplier variable (x) as part of the problem.
It's just something to think about since this concept can/might help in other problems, too.
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Wonderful explanation, the best one I can find
Thank you sir for this very clear explanation about this topic... So easy to discuss
This video help me a lot thank you so much.
Good work
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Love you too!
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Thank you so much for your explanation.
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This reminds me how metrologist do, when they track hurricanes back in the old days!
Lol, when I had to pause to un cramp my hand for watching videos so long the passed facial expression are hilarious.
Slope of the line(m) = Rise/Run
Beautiful 😍
My school teacher never told me😅
Fantastic teacher. I appreciate your help. 🥰
this is an awesome explanation . thank you so much.
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Excellent explanations!
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Have a test tomorrow… wish me luck
I am struggling with the graph.
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Rise over run, rise over run, rise over run......... Over and down, over.....
71
But why is y 3x positive?
Where part two.
X+5x
6x
Wise over won
A(معامل اكس) + B(معامل واي) = C( الثابت : رقم )
المنحدر بالجبر يرمز له بالرمز M او نسميه ميل الخط .
تخيل : اربعة خطوط اثنين x موجب وسالب واثنين y موجب وسالب ، رسم بياني ، وخط مستقيم في الجهة العلوية - هذا يسمى zero slope صفر انحدار .
وتخيل : نفس الرسم البياني ولكن خط منحدر قليلًا جزئه الصغير في الجهة السفلية والعظيم في الجهة العلوية وهذا يسمى - small slope منحدر صغير .
وتخيل : نفس الرسم البياني ، خط طويل يمتد في الجهة العلوية والسفلية للرسم البياني يسمى - Medium slope منحدر طويل .
وتخيل : ذات الرسم البياني ولكن الفرق ان المنحدر هذه المرة منحدر جدًا ومقارب إلى التعمد طولًا ويسمى - High slope منحدر مرتفع .
- المنحدر غير محدد . وهو كبير بشكل لانهائي .
M = Rise\Run = y²-y¹\x²-x¹
-4x + 2y = 12
y = 4x + 12\2
y= 4x\2 + 12\2
y= 2x + 6
So to those who disliked this video can they pls tell me why
Here from school
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VICENTE Lopez Lopez that doesn’t matter...
@@lucy-yc2rf #Vicente I know =))...I kept wanting him to turn it down...Lol.. distractions..distractions. jk..Lol...Still learning!
I thought I was the only one bothered by that.
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