document.write( "Question 525881: find a value for k so that the line through (6,-3) and (k,-4) is parallel to the line with the equation y=5x-7. \n" ); document.write( "

Algebra.Com's Answer #348260 by oberobic(2304) $\"\"$ $\"About$

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The line parallel to y = 5x -7 will have a slope of 5.
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\n" ); document.write( "With the two points given, you can find 'k'.
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\n" ); document.write( "m = 5
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\n" ); document.write( "m = (-3-(-4)) / (6-k)
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\n" ); document.write( "5 = 1/ (6-k)
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\n" ); document.write( "5*(6-k) = 1
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\n" ); document.write( "6-k = 1/5
\n" ); document.write( "-k = 1/5 - 6
\n" ); document.write( "k = -1/5 + 30/5 = 29/5 = 5 4/5 = 5.8
\n" ); document.write( "so the second point is
\n" ); document.write( "(29/5,-4)
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\n" ); document.write( "y = 5x + b
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\n" ); document.write( "use one of the points to find 'b'
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\n" ); document.write( "-3 = 5*6 + b
\n" ); document.write( "-33 = b
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\n" ); document.write( "y = 5x - 33
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\n" ); document.write( "In the following graph:
\n" ); document.write( "the red line is y = 5x -7
\n" ); document.write( "the green line is y = 5x -33
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\n" ); document.write( " $\"+graph+%28500%2C500%2C-12%2C12%2C-40%2C40%2C5%2Ax-7%2C+5%2Ax-33%29+\"$
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