Answer:
In order down the left side, ...
- y = 1/3x +2
- y = 1/2x +3
- y = 2x +6
- y = -2x +3
Step-by-step explanation:
To put a linear equation in slope-intercept form, you solve for y, then simplify.
<u>x -3y = -6</u>
Subtract x and divide by -3:
y = 1/3x +2
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<u>2y -6 = x</u>
Add 6 and divide by 2:
y = 1/2x +3
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<u>-x +(1/2)y = 3</u>
Add x and multiply by 2:
y = 2x +6
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<u>2x +y = 3</u>
Subtract 2x:
y = -2x +3
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<em>Comment on the algebra</em>
Note that when we say add, subtract, multiply, or divide by something or other, we mean to <em>do that to both sides of the equation</em>. That is required by the properties of equality.
If you remember the rule: do the same thing to both sides of the equation, then algebra suddenly becomes much easier.
