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Which graph shows the line
Y = -3 x + 1

Which graph shows the line Y = -3 x + 1-example-1
User Ghis
by
8.9k points

1 Answer

7 votes

Answer:

What the question is asking you to do is to solve for x. This means that you will need to get x on one side of the equation and everything else on the other side.

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Notice that within the parentheses you have the quantity x - 1. This entire quantity is multiplied by y.

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Suppose that you begin by dividing both sides of the equation by y to get rid of the y on the left side. When you do this division you get:

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x-1+=+z%2Fy

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Now get rid of the -1 on the left side by adding +1 to both sides and you have the answer of:

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x+=+z%2Fy%2B1

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You could also have begun the problem by multiplying out the left side ... multiplying y times (x-1). If you do that, the equation becomes:

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yx+-+y+=+z

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Next get rid of the -y term on the left side by adding +y to both sides. The result is:

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yx+=+z%2By

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Now get rid of the y on the left side by dividing both sides by y to get:

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x+=+%28z%2By%29%2Fy

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Simplify the right by dividing both terms in the numerator by y:

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x+=+z%2Fy%2By%2Fy

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And finally, recognize that y%2Fy=1. Substitute this equivalent value into the right side of the equation and you have:

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x+=+z%2Fy%2B1

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And this is the same answer that we got the first time. It just took a little more work.

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Hope this helps you to understand the problem better, Kevin.

New! FREE algebra solver that shows work:

3x-x+2=4

Explanation:

Therefore the answer would be Graph B!

User Royco
by
8.0k points

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