Write the equation x – 3y = 6 in slope intercept form. Show your work.
Slope intercept form is: y = mx + b You need to solve your equation for y.
Start by subtracting x from both sides. Then divide both sides by -3.
idk how to find x
You don't need to find x. Just start by subtracting x from both sides: x - 3y = 6 -x -x ----------------- What do you get?
6x
You can't combine a term with x and a term without x. On the left side, you have x - 3y Whan you subtract x from the left you have: x - x - 3y You can combine the two terms with x together: x - x = 0, so you end up wityh only -3y on the left side. On the right side, you have 6. Now you subtract x, so you end up with 6 - x which is the same as -x + 6. x - 3y = 6 -x -x ----------------- -3y = -x + 6 Now you need to divide both sides by -3 to end up with y by itself.
1=-2 ?????????
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Now you divide both sides by -3 to get rid of the -3 multiplying the y. -3y/(-3) = -x/(-3) + 6/(-3) \(y = \frac{1}{3}x - 2\)
sooooooooooo y=1/2x-2 is the slope intercept form of my original question lol???
Yes, that is it. It is in y = mx + b form. In this case, m = 1/2 and b = -2
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