document.write( "Question 457117: Write an equation of the line containing the given point and perpindicular to the give line. (3, -7); 3x+ 2y =5
\n" ); document.write( " Also write an equation of the line containing the given point and parallel to the given line. (-4,3); 6x = 5y+8.\r
\n" ); document.write( "\n" ); document.write( "I dont just want the answers I honestly want to understand how to do this, please help!!\r
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Algebra.Com's Answer #313707 by ankor@dixie-net.com(22740)\"\" \"About 
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Write an equation of the line containing the given point and perpendicular to the give line. (3, -7); 3x + 2y = 5
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\n" ); document.write( "Find the slope of the given equation, put it in the slope/intercept form: (y = mx+b)
\n" ); document.write( "3x + 2y = 5
\n" ); document.write( "Subtract 3x from both sides
\n" ); document.write( "2y = -3x + 5
\n" ); document.write( "divide both by 2
\n" ); document.write( "y = \"-3%2F2\"x + \"5%2F2\"
\n" ); document.write( "m1 = \"-3%2F2\"
\n" ); document.write( "The slope relationship of perpendicular lines: mi*m2 = -1
\n" ); document.write( "\"-3%2F2\"*m2 = -1
\n" ); document.write( "m2 = -1 * \"-2%2F3\"
\n" ); document.write( "m2 = \"2%2F3\" is the slope of the perpendicular line
\n" ); document.write( "Find the equation of the perpendicular line using the point/slope form (y-y1=m(x-x1)
\n" ); document.write( "x1=3, y1=-7, m = \"2%2F3\"
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\n" ); document.write( "y - (-7) = \"2%2F3\"(x - 3)
\n" ); document.write( "y + 7 = \"2%2F3\"x - 3*\"2%2F3\"
\n" ); document.write( "y = \"2%2F3\"x - 2 - 7
\n" ); document.write( "y = \"2%2F3\"x - 9, the equation perpendicular to 3x + 2y = 5
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\n" ); document.write( "Also write an equation of the line containing the given point and parallel to the given line. (-4,3); 6x = 5y+8.
\n" ); document.write( "Find the slope the of the given equation
\n" ); document.write( "6x = 5y + 8
\n" ); document.write( "5y = 6x - 8
\n" ); document.write( "Divide both sides by 5
\n" ); document.write( "y = \"6%2F5\"x - \"8%2F5\"
\n" ); document.write( "parallel lines have the same slope, therefore:
\n" ); document.write( "y - 3 = \"6%2F5\"(x - (-4))
\n" ); document.write( "y - 3 = \"6%2F5\"(x + 4)
\n" ); document.write( "see if you can finish this the same way we did the first problem
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