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Darya [45]
3 years ago
12

Change the following linear equation in standered form to slope- intercepts form: 2x-y=9

Mathematics
2 answers:
g100num [7]3 years ago
7 0
Slope intercept is written as y=mx+b. So step one would be to add y to both sides of the equation and you get

2x-y+y = 9+y..the y's cancel out so it would be 2x = 9 +y

Now subtract 9 from both sides of the equation and you have 2x-9=9-9+y  in that 9-9 = 0 you now have 2x- 9 = y or  y= 2x-9.

2x-9 = y
Yuki888 [10]3 years ago
5 0
Since <span><span>2x,</span><span>2x</span></span> does not contain the variable to solve for, move it to the right side of the equation by subtracting <span><span>2x,</span><span>2x</span></span> from both sides.<span><span><span>−y</span>=<span><span><span>−2</span>x</span>+9</span></span><span><span>-y</span>=<span><span><span>-2</span>x</span>+9</span></span></span>Multiply each one <span><span><span>−y</span>=<span><span><span>−2</span>x</span>+9</span></span><span><span>-y</span>=<span><span><span>-2</span>x</span>+9</span></span></span> by <span><span>−1</span><span>-1</span></span>Multiply each one in <span><span><span>−y</span>=<span><span><span>−2</span>x</span>+9</span></span><span><span>-y</span>=<span><span><span>-2</span>x</span>+9</span></span></span> by <span><span>−1</span><span>-1</span></span>.<span><span><span><span>−y</span>⋅<span>−1</span></span>=<span><span><span><span>−2</span>x</span>⋅<span>−1</span></span>+<span>9⋅<span>−1</span></span></span></span><span><span><span>-y</span>⋅<span>-1</span></span>=<span><span><span><span>-2</span>x</span>⋅<span>-1</span></span>+<span>9⋅<span>-1</span></span></span></span></span>make it simple <span><span><span>−y</span>⋅<span>−1</span></span><span><span>-y</span>⋅<span>-1</span></span></span>.Multiply some more. <span><span>−1</span><span>-1</span></span> by <span><span>−1</span><span>-1</span></span> to get <span>11</span>.<span><span><span>1y</span>=<span><span><span><span>−2</span>x</span>⋅<span>−1</span></span>+<span>9⋅<span>−1</span></span></span></span><span><span>1y</span>=<span><span><span><span>-2</span>x</span>⋅<span>-1</span></span>+<span>9⋅<span>-1</span></span></span></span></span>Multiply <span>yy</span> by <span>11</span> to get <span>yy</span>.(but Y?)<span><span>y=<span><span><span><span>−2</span>x</span>⋅<span>−1</span></span>+<span>9⋅<span>−1</span></span></span></span><span>y=<span><span><span><span>-2</span>x</span>⋅<span>-1</span></span>+<span>9⋅<span>-1</span></span></span></span></span>Simplify each stuff that you simplify. Multiply...again..... <span><span>−1</span><span>-1</span></span> by <span><span>−2</span><span>-2</span></span> to get <span>22</span>.<span><span>y=<span><span>2x</span>+<span>9⋅<span>−1</span></span></span></span><span>y=<span><span>2x</span>+<span>9⋅<span>-1</span></span></span></span></span>Multiply some more..... <span>99</span> by <span><span>−1</span><span>-1</span></span> to get <span><span>−9</span><span>-9</span></span>.<span>y=<span><span>2x</span><span>−<span>9.</span></span></span></span>
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tresset_1 [31]

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The number line solution graph is also attached below.

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The number line solution graph is also attached below.

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