Rearrange line form easily

Aug 6th, 2022
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How to rearrange line form

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hello so in this video were going to look at rearranging straight line equations so that we can find the gradient and the y-intercept you should already know all about the y equals mx plus c equation where the m is the gradient and the c is the y-intercept but straight line equations arent always written in this nice form sometimes we have to do some rearranging first these are actually all the same straight lines but only the y equals 2x plus 5 format easily tells us that the gradient is 2 and the y-intercept is 5. so whats the gradient of this straight line rearrange the equation into the y equals mx plus c form pause the video work it out and click play when youre ready to check did you rearrange to get y equals three x plus eight so the gradient is three [Music] so heres two questions for you to do pause the video answer the questions and click play when youre ready to check how did you do so im sure youve already sussed that rearranging into the y equals mx plus c form is

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The standard form of a linear equation is Ax+By=C. To change an equation written in slope-intercept form (y=mx+b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side. Use inverse operations to move terms.
Rearranging Linear Equations Before Graphing Add or subtract the same term from both sides. Multiply or divide both sides by the same non-zero term. Simplify either side. Interchange sides.
Summary of Standard Form Rules for Linear Equations: Must have the form Ax+By=C. A, B, and C must be integers (not fractions) A can not be negative. A, B, and C should have no common factors other than 1.
Generally, to rearrange an equation, work in reverse order to the original order of opera- tion, using the opposite operation. Example: Make x the subject of the equation: y = 4x + 3. To rearrange the equation, you work from right to left. The operations are reversed.
The process of converting the vertex form of a quadratic equation into the standard form is pretty simple and it is done by simply evaluating (x - h)2 = (x - h) (x - h) and simplifying.
To change the equation into slope-intercept form, we write it in the form y=mx+b .

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