document.write( "Question 519433: Write the slope-intercept equation for the line that passes through (70, 92) and is (a) parallel and (b) perpendicular to 7x + 10y = -24. Please show all of your work. \n" ); document.write( "
Algebra.Com's Answer #345621 by mananth(16946)\"\" \"About 
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PARALLEL
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\n" ); document.write( "7 x + 10 y = -24
\n" ); document.write( "Find the slope of this line
\n" ); document.write( "make y the subject
\n" ); document.write( "10 y = -7 x + -24
\n" ); document.write( "Divide by 10
\n" ); document.write( " y = -0.7 x -2.4
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = -0.7 =>- 7/10
\n" ); document.write( "The slope of a line parallel to the above line will be the same m= -7/10 ,point ( 70 , 92 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "92 = -49 + b
\n" ); document.write( "b= 141
\n" ); document.write( "m= -7/10
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( "The required equation is y = -7/10 x + 141\r
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\n" ); document.write( "PERPENDICULAR TO A LINE 7 x + 10 y = -24
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "10 y = -7 x + 6
\n" ); document.write( "Divide by 10
\n" ); document.write( " y = -7/10 x + 3/5
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = -7/10
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\n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal
\n" ); document.write( "m1*m2=-1
\n" ); document.write( "The slope of the required line will be 10/7
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\n" ); document.write( "m= 10/7 ,point ( 70 , 92 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "92 = 100.00 + b
\n" ); document.write( "b= -8
\n" ); document.write( "m= 10/7
\n" ); document.write( "The required equation is y = 10/ 7 x -8
\n" ); document.write( "m.ananth@hotmail.ca
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