Slope-intercept form | Algebra I | Khan Academy

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Slope-intercept form

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Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

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And in kindergarten, I thought school was fun :(

xaphyrie

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thestarfishy

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sindhugudimella

I never understood

I cried and had a mental breakdown

huh

When your teacher tells you have the test in two days and didn’t teach you anything in class

xfxqnib

a common equation is y = mx + b.
m represents the slope. B represents the y-intercept, where the lines touch the Y-axis. So y = 2x + 3 means that the y-intercept is 3. the 2x means that the slope is 2 over 1. (Look at rise over run)
This equation, y = 2x + 3 is a slope intercept equation, because it tells you the slope is 2 and the y-intercept is 3.
But for something more complex they call it standard form, for equations like 2y - 2x = 6 where you have to turn it into slope intercept form.
Graphing it is relatively easy. if you get a negative slope, you graph the line so its going downward and night rising like a positive slope. The y-intercept is just where the line passes through the y-axis, so a negative y-axis doesn't make the line negative.
When a question asks "Does y, x solve for..." and it gives two equations, simply put in the number it says and sees if it's right. It's just a regular equation. For example, "Does 1, 2 solve for y = 6x - 4?" You put in 1 for x and 2 for y. So you can rephrase the question to be "Does 1, 2 solve for 2 = 6 - 4?" and it does. However, if you input "2, 1" the input would result in "1 = 12 - 4" which isn't true.
For problems where the slope isn't said, just assume it is 1, or a perfect square. Example y = x - 4. The slope is 1 and the y-intercept is -4.

I hope this helps. I went through a bunch of information because learning it all together makes much more sense. The logic makes it all tie in together.

glassesspokesperson

I'm having a mental break down I still don't understand

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lynds

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