document.write( "Question 95862: can u help me find the equations in slope intercept form for the line that contains the given point is(a)paralleland(b)perpendicularto the given line.
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Algebra.Com's Answer #69869 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! can u help me find the equations in slope intercept form for the line that \n" ); document.write( " contains the given point is (a)parallel and (b)perpendicular to the given \n" ); document.write( "line.(3,-1); 2x + 2y = 5 \n" ); document.write( ": \n" ); document.write( "Put the equation in the point intercept form (y = mx + b): \n" ); document.write( "2x + 2y = 5 \n" ); document.write( "2y = -2x + 5 \n" ); document.write( "y = -(2/2)x + 5/2 \n" ); document.write( "y = -1x + 2.5 \n" ); document.write( "m = -1 \n" ); document.write( ": \n" ); document.write( "Parallel lines have the same slope so using m=-1; x1 = 3 and y1 = -1 \n" ); document.write( "write the point/slope equation: y - y1 = m(x - x1) \n" ); document.write( ": \n" ); document.write( "y - (-1) = -1(x - 3) \n" ); document.write( "y + 1 = -x + 3 \n" ); document.write( "y = -x + 3 - 1 \n" ); document.write( "y = -x + 2 is parallel to given line and contains point: 3, -1 \n" ); document.write( ": \n" ); document.write( "The relationship between perpendicular lines can be expressed: \n" ); document.write( "m1 * m2 = -1 \n" ); document.write( "Substitute -1 for m1 and find m2 \n" ); document.write( "-1 * m2 = -1 \n" ); document.write( "m2 = +1 \n" ); document.write( ": \n" ); document.write( "Use the point/slope equation to find the perpendicular line\" \n" ); document.write( "m2 = +1; x1 = 3; y1 =-1 \n" ); document.write( ": \n" ); document.write( "y - (-1) = +1(x - 3) \n" ); document.write( "y + 1 = +x - 3 \n" ); document.write( "y = x - 3 - 1 \n" ); document.write( "y = x - 4 is perpendicular to the given line and contains point: 3, -1 \n" ); document.write( ": \n" ); document.write( "Did this help you? \n" ); document.write( " \n" ); document.write( " |