document.write( "Question 90636: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 2y = 10 L2 with equation 2x + y = 2\r
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\n" ); document.write( "\n" ); document.write( "A) Perpendicular B) Neither C) Parallel
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Algebra.Com's Answer #65807 by jim_thompson5910(35256) $\"\"$ $\"About$

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Convert x – 2y = 10 into slope intercept form\r
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Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)

Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)

$\"1x-2y=10\"$ Start with the given equation

$\"1x-2y-1x=10-1x\"$ Subtract 1x from both sides

$\"-2y=-1x%2B10\"$ Simplify

$\"%28-2y%29%2F%28-2%29=%28-1x%2B10%29%2F%28-2%29\"$ Divide both sides by -2 to isolate y

$\"y+=+%28-1x%29%2F%28-2%29%2B%2810%29%2F%28-2%29\"$ Break up the fraction on the right hand side

$\"y+=+%281%2F2%29x-5\"$ Reduce and simplify

The original equation $\"1x-2y=10\"$ (standard form) is equivalent to $\"y+=+%281%2F2%29x-5\"$ (slope-intercept form)

The equation $\"y+=+%281%2F2%29x-5\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=1%2F2\"$ is the slope and $\"b=-5\"$ is the y intercept.

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\n" ); document.write( "\n" ); document.write( "Convert 2x + y = 2 into slope intercept form\r
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Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)

Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)

$\"2x%2B1y=2\"$ Start with the given equation

$\"2x%2B1y-2x=2-2x\"$ Subtract 2x from both sides

$\"1y=-2x%2B2\"$ Simplify

The original equation $\"2x%2B1y=2\"$ (standard form) is equivalent to $\"y+=+-2x%2B2\"$ (slope-intercept form)

The equation $\"y+=+-2x%2B2\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=-2\"$ is the slope and $\"b=2\"$ is the y intercept.

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\n" ); document.write( "\n" ); document.write( "Now multiply the two slopes we found earlier:\r
\n" ); document.write( "\n" ); document.write( " $\"%281%2F2%29%28-2%29=-2%2F2=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( "Since the product of the two slopes is -1, this means they are perpendicular \n" ); document.write( "

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