Xác định a, b để đồ thị hàm số y = ax + b đi qua hai điểm hay viết phương trình hàm số bậc nhât đi qua hai điểm (viết phương trình đường thẳng đi qua hai điểm) là dạng bài tập các em hay gặp ở nội dung toán lớp 9.
Vậy cách xác định a, b để đồ thị hàm số y = ax + b đi qua hai điểm như thế nào? cách viết phương trình đường thẳng đi qua hai điểm ra sao? chúng ta cùng tìm hiểu qua bài viết dưới đây.
° Xác định a, b để đồ thị hàm số đi qua 2 điểm (viết phương trình đường thẳng đi qua 2 điểm cho trước).
– Cho tọa độ 2 điểm A, B trong hệ Oxy. Hãy xác định hệ số a, b để đồ thị hàm số bậc nhất đi qua 2 điểm (hay viết phương trình đường thẳng đi qua 2 điểm A, B) ta thực hiện các bước sau:
– Bước 1: Gọi tổng quát đường thẳng có dạng y = ax + b (a khác 0)
– Bước 2: Với từng điểm cho trước thì thay trực tiếp vào phương trình đường thẳng. Khi đó, ta được 2 phương trình bậc nhất.
– Bước 3: Giải hệ phương trình tìm a và b
– Bước 4: Viết phương trình đồ thị hàm số (viết phương trình đường thẳng)
° Ví dụ minh họa cách xác định a, b để đồ thị hàm số đi qua 2 điểm (viết phương trình đường thẳng đi qua 2 điểm cho trước).
* Ví dụ 1: Xác định a và b để đồ thị hàm số y = ax + b đi qua hai điểm A(2; -2) và B(-1; 3).
* Lời giải:
– Đồ thị hàm số y = ax + b đi qua A(2; -2) nên ta có: 2.a + b = -2 (1)
– Đồ thị hàm số y = ax + b đi qua B(-1; 3) nên ta có: (-1).a + b = 3 (2)
Từ (1) và (2) ta có hệ phương trình:
Vậy đồ thị hàm số có dạng: 
* Ví dụ 2: Xác định a và b để đồ thị hàm số bậc nhất y = ax + b đi qua hai điểm A(1; 3) và B(-1; -1)
* Lời giải:
– Đồ thị hàm số y = ax + b đi qua A(1; 3) nên ta có: 1.a + b = 3 (1)
– Đồ thị hàm số y = ax + b đi qua B(-1; -1) nên ta có: (-1).a + b = -1 (2)
Từ (1) và (2) ta có hệ phương trình:
Vậy đồ thị hàm số có dạng: y = 2x + 1.
* Ví dụ 3: Xác định hàm số bậc nhất biết đồ thị là đường thẳng đi qua 2 điểm A(1; 2) và B(-2; 3).
* Lời giải:
– Đồ thị hàm số (phương trình đường thẳng dạng tổng quát) y = ax + b đi qua A(1; 2) nên ta có: 1.a + b = 2 (1)
– Đồ thị hàm số y = ax + b đi qua B(-2; 3) nên ta có: (-2).a + b = 3 (2)
Từ (1) và (2) ta có hệ phương trình:
Vậy đồ thị hàm số có dạng: 
Hy vọng với bài viết xác định a, b để đồ thị hàm số y = ax + b đi qua hai điểm hay viết phương trình hàm số bậc nhất đi qua hai điểm (viết phương trình đường thẳng đi qua hai điểm) ở nội dung toán lớp 9 trên của Trường TCSP Mẫu giáo – Nhà trẻ Hà Nội giúp các em giải các bài tập dạng này một cách dễ dàng. Mọi góp ý và thắc mắc các em hãy để lại nhận xét dưới bài viết để Hay Học Hỏi ghi nhận và hỗ trợ, chúc các em học tốt.
Bản quyền bài viết thuộc trường trung học phổ thông Sóc Trăng. Mọi hành vi sao chép đều là gian lận.
Nguồn chia sẻ: Trường THPT Thành Phố Sóc Trăng (thptsoctrang.edu.vn)
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Currently it looks like Movable Type is the preferred blogging platform available right now. (from what I’ve read) Is that what you are using on your blog?
Hey I know this is off topic but I was wondering if you knew of any widgets I could add to my blog that automatically tweet my newest twitter updates. I’ve been looking for a plug-in like this for quite some time and was hoping maybe you would have some experience with something like this. Please let me know if you run into anything. I truly enjoy reading your blog and I look forward to your new updates.
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Right now it appears like Expression Engine is the preferred blogging platform available right now. (from what I’ve read) Is that what you’re using on your blog?
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Hey I know this is off topic but I was wondering if you knew of any widgets I could add to my blog that automatically tweet my newest twitter updates. I’ve been looking for a plug-in like this for quite some time and was hoping maybe you would have some experience with something like this. Please let me know if you run into anything. I truly enjoy reading your blog and I look forward to your new updates.
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Right now it seems like Movable Type is the top blogging platform out there right now. (from what I’ve read) Is that what you are using on your blog?
Currently it sounds like Movable Type is the top blogging platform out there right now. (from what I’ve read) Is that what you are using on your blog?
May I simply just say what a comfort to find somebody who genuinely understands what they are discussing on the internet. You definitely understand how to bring an issue to light and make it important. A lot more people must check this out and understand this side of the story. I was surprised you’re not more popular since you certainly possess the gift.
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At this time it looks like Expression Engine is the best blogging platform available right now. (from what I’ve read) Is that what you’re using on your blog?
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Right now it looks like Expression Engine is the preferred blogging platform available right now. (from what I’ve read) Is that what you are using on your blog?
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Can I just say what a comfort to uncover somebody who genuinely understands what they’re talking about over the internet. You actually know how to bring a problem to light and make it important. A lot more people have to read this and understand this side of the story. It’s surprising you’re not more popular because you surely possess the gift.
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Currently it sounds like Movable Type is the preferred blogging platform out there right now. (from what I’ve read) Is that what you’re using on your blog?
May I simply just say what a comfort to discover a person that actually understands what they are talking about over the internet. You definitely realize how to bring a problem to light and make it important. More people must look at this and understand this side of your story. I can’t believe you are not more popular because you surely have the gift.
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May I simply just say what a relief to discover someone who actually understands what they’re talking about online. You certainly understand how to bring a problem to light and make it important. More and more people need to read this and understand this side of your story. It’s surprising you’re not more popular because you definitely have the gift.
At this time it looks like WordPress is the top blogging platform available right now. (from what I’ve read) Is that what you are using on your blog?
May I just say what a relief to find someone that genuinely knows what they’re discussing over the internet. You definitely understand how to bring a problem to light and make it important. More people have to read this and understand this side of your story. It’s surprising you’re not more popular because you certainly possess the gift.
Currently it looks like Expression Engine is the top blogging platform available right now. (from what I’ve read) Is that what you’re using on your blog?
Greate article. Keep posting such kind of information on your page. Im really impressed by it.
Currently it looks like BlogEngine is the best blogging platform out there right now. (from what I’ve read) Is that what you are using on your blog?
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Hey I know this is off topic but I was wondering if you knew of any widgets I could add to my blog that automatically tweet my newest twitter updates. I’ve been looking for a plug-in like this for quite some time and was hoping maybe you would have some experience with something like this. Please let me know if you run into anything. I truly enjoy reading your blog and I look forward to your new updates.
Aw, this was an exceptionally nice post. Taking a few minutes and actual effort to produce a superb article… but what can I say… I hesitate a whole lot and don’t manage to get nearly anything done.
一个高效的学习路径：用Cryptify Hub的导航站找到某个工具的官网 → 自己去阅读文档和教程 → 在实践中遇到问题 → 回到Cryptify Hub的社群里提问或搜索历史讨论。这个路径结合了“官方信息”和“民间经验”，比单纯依赖社群或单纯自学都更有效。但请始终把官方文档作为第一信源，社群经验作为补充参考。民间社群的讨论可能有错误或过时。
把Cryptify Hub想象成一本加密工具的通讯录，而不是一本教科书。通讯录只告诉你谁的电话是多少，不教你怎么跟人打交道。同样，这个导航站只告诉你某个工具的官网在哪，不教你如何使用它、何时使用它、是否值得使用它。
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Hey I know this is off topic but I was wondering if you knew of any widgets I could add to my blog that automatically tweet my newest twitter updates. I’ve been looking for a plug-in like this for quite some time and was hoping maybe you would have some experience with something like this. Please let me know if you run into anything. I truly enjoy reading your blog and I look forward to your new updates.
Wow that was odd. I just wrote an extremely long comment but after I clicked submit my comment didn’t show up. Grrrr… well I’m not writing all that over again. Anyway, just wanted to say wonderful blog!
Aw, this was a very nice post. Spending some time and actual effort to produce a great article… but what can I say… I put things off a lot and don’t manage to get nearly anything done.
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May I simply say what a relief to uncover somebody who really understands what they are discussing over the internet. You certainly realize how to bring a problem to light and make it important. A lot more people should look at this and understand this side of your story. I was surprised you’re not more popular given that you certainly have the gift.
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