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Rewrite the following equation in standard form. y = -2x + 8

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2 Answers

Your equation is currently in the slope-intercept form y= mx + b 

You want to change it to the Standard form Ax + By =  C

To do this you want to make sure of two things:

1. All variables (x and y) as well as their co-efficients are on the same side of the equation.
2. The variable x is positive.

For your problem, y= -2x+8, you're going to simply move the x variable to the same side as the y variable.

To do that you will +2x to both sides of the equation, getting y + 2x = 8 -2x + 2x, and -2x + 2x = 0;

Since 2x is now positive you don't need to do anything else. Your answer is 2x + y = 8

Let me know if you have any questions

Right now your equation is in what is called the slope-intercept form y=mx+b where m is the slop and b is the y intercept.

You job is to put it in the for Ax+By=C where A is a positive whole number and B and C are integers. We look at these 2 forms and we ask ourselves what is the difference between slope intercept and standard? The answer is that the variable are on opposite sides of the equation on slope intercept form and they are on the same side on standard. To fix this we simply and or subtract the x term on both sides of the equation and/or multiply by -1.

For this problem in particular we have y=-2x+8, in order to put it in standard form we add 2x to both sides of the equation, doing so gives us 2x+y=8. Since 2 is positive we are done.