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
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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
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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)![]() ![]() You can put this solution on YOUR website! Write an equation of the line containing the given point and perpendicular to the give line. (3, -7); 3x + 2y = 5 \n" ); document.write( ": \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 = \n" ); document.write( "m1 = \n" ); document.write( "The slope relationship of perpendicular lines: mi*m2 = -1 \n" ); document.write( " \n" ); document.write( "m2 = -1 * \n" ); document.write( "m2 = \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 = \n" ); document.write( ": \n" ); document.write( "y - (-7) = \n" ); document.write( "y + 7 = \n" ); document.write( "y = \n" ); document.write( "y = \n" ); document.write( "; \n" ); document.write( "; \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 = \n" ); document.write( "parallel lines have the same slope, therefore: \n" ); document.write( "y - 3 = \n" ); document.write( "y - 3 = \n" ); document.write( "see if you can finish this the same way we did the first problem \n" ); document.write( " |