@Light & Salt Learning on timestamp: 24:00 example 7: if slope is m= y2-y1/x2-x1... y2 would be 6400-9400/10-4. During the video you wrote it: 9400-6400... I understand the concept of it being easier to subtract Greatest to least but wouldn't that be disobeying the slope formula?
Great question! As long as you're consistent, it doesn't matter which point you call "point 1" and "point 2". Where students go wrong is being inconsistent. On top, with the y's, they'll use a y-value as y1, but then on the bottom, use the x from the same point as x2 instead of x1. Does that make sense?
Thanks for posting like this useful video. I was complicated before I found yr explanation. BTW, I also would like more word problems like these. Would you mind sharing me, pls? ❤❤
@@LightandSaltLearning I'm having a hard time figuring out what or how I need to ask. I'll think about it more. Thank you for responding to all my questions, you must be the nicest person on TH-cam
I don't know about the nicest! But I do understand how frustrating it is when you feel like you just don't get it. And I love it when students get to the point that they can say, "O, is that it? I can do this!"
@@LightandSaltLearning In example 3 (14:14) the two numbers are one point on the plane? (5,-32)? So you're finding the rate of change of that one point? How does that tell you the graph this would make if you only have one point? How can you know the slope from just one point? Same question on example 4. Sure I can find the cost per banana with simple math but I don't know how these relate to the plane, a graph or a slope. I get that for each one more banana the total cost will be 37 cents more, is that a slope somehow? The others make a bit more sense since they have 2 points but the last one seems vague. For one thing why is it asking for an average? What does that mean in terms of slope? Average rate of change for what? Is it telling you they want to know change in altitude when it says he's climbing a mountain?
Great questions! The cost per banana in this case is a slope, yes. Because, just as you said FOR EVERY banana you buy, the cost goes up another $0.37. A slope is a CONSTANT RATE OF CHANGE. We call it an average rate of change when things don't perfectly line up. For example, as you drive cross country, you might slightly vary your speed, up to 82 to pass a big truck, down to 65 when there's some traffic, but you can still calculate your average RATE OF CHANGE (speed), by knowing how far you traveled in a particular amount of time. Does that make sense?
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Love how deeply you go into explaining these questions and answers !!!! Such a great teacher !!!!!!
GREAT VIDEO PLUS GREAT TEACHER , love Ms. Kate
Thanks, Saira! You are always so encouraging!
@@LightandSaltLearning you are welcome 💖💖
You and Salmon Khan are GOATs
I don't know if I'm quite at Khan's level yet, but thank you! Happy learning!
@Light & Salt Learning on timestamp: 24:00 example 7: if slope is m= y2-y1/x2-x1... y2 would be 6400-9400/10-4. During the video you wrote it: 9400-6400... I understand the concept of it being easier to subtract Greatest to least but wouldn't that be disobeying the slope formula?
Great question!
As long as you're consistent, it doesn't matter which point you call "point 1" and "point 2". Where students go wrong is being inconsistent. On top, with the y's, they'll use a y-value as y1, but then on the bottom, use the x from the same point as x2 instead of x1. Does that make sense?
Thanks for posting like this useful video. I was complicated before I found yr explanation.
BTW, I also would like more word problems like these. Would you mind sharing me, pls? ❤❤
Sure! th-cam.com/video/ZJ5AWTVemyA/w-d-xo.html If you need more, just search Slope from Word Problems on my channel.
@@LightandSaltLearning Thanks.
I've watched it 3 times and I'm LOST.
Where did you get lost? Help me to pinpoint how I can help.
@@LightandSaltLearning I'm having a hard time figuring out what or how I need to ask. I'll think about it more. Thank you for responding to all my questions, you must be the nicest person on TH-cam
I don't know about the nicest! But I do understand how frustrating it is when you feel like you just don't get it. And I love it when students get to the point that they can say, "O, is that it? I can do this!"
@@LightandSaltLearning In example 3 (14:14) the two numbers are one point on the plane? (5,-32)? So you're finding the rate of change of that one point? How does that tell you the graph this would make if you only have one point? How can you know the slope from just one point? Same question on example 4. Sure I can find the cost per banana with simple math but I don't know how these relate to the plane, a graph or a slope. I get that for each one more banana the total cost will be 37 cents more, is that a slope somehow? The others make a bit more sense since they have 2 points but the last one seems vague. For one thing why is it asking for an average? What does that mean in terms of slope? Average rate of change for what? Is it telling you they want to know change in altitude when it says he's climbing a mountain?
Great questions! The cost per banana in this case is a slope, yes. Because, just as you said FOR EVERY banana you buy, the cost goes up another $0.37. A slope is a CONSTANT RATE OF CHANGE. We call it an average rate of change when things don't perfectly line up. For example, as you drive cross country, you might slightly vary your speed, up to 82 to pass a big truck, down to 65 when there's some traffic, but you can still calculate your average RATE OF CHANGE (speed), by knowing how far you traveled in a particular amount of time. Does that make sense?
FIRST!!!
no