document.write( "Question 79273: what is the slope-intercept form of the line passing through the point (6,-9) and parallel to the line 5x-7y=-1 \n" ); document.write( "

Algebra.Com's Answer #56920 by rmromero(383) $\"\"$ $\"About$

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document.write( "what is the slope-intercept form of the line passing through the point (6,-9) and parallel to the line 5x-7y=-1\r
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document.write( "Slope - Intercept Form 
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document.write( "          y = mx + b , where m = slope and b = y-intercept\r
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document.write( "We can find the slope of the line passing through (6, -9) and parallel
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document.write( "to the line 5x - 7y = -1, by finding the slope of the line parallel to it.
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document.write( "That is 5x - 7y = -1.   \r
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document.write( "Find the slope of 5x - 7y = -1
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document.write( "                  5x + 1 = 7y
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document.write( "                  5       1
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document.write( "                 ___x  + ____ = y
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document.write( "                  7       7\r
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document.write( "Slope or m = 5/7\r
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document.write( "Since the two line are parallel, they have the same slope
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document.write( "so the slope of the line passing through (6,-9) and parallel to
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document.write( "the line 5x - 7y = -1 is 5/7.\r
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document.write( "Now, we will find the b, the y - intercept.\r
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document.write( "           y = mx + b, where m= 5/7 and x = 6 and y = -9
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document.write( "          -9 = 5/7(6) + b
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document.write( "          -9 = 30/7 + b
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document.write( "       -9 - 30/7 = b
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document.write( "          -72/7 = b\r
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document.write( "The slope - intercept form of the new line is \r
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document.write( "          y = (5/7)x - 72/7\r
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