document.write( "Question 97444: find k so that the line thru (4,-1) and (k,2)is
\n" ); document.write( "a). parallel to 2x+3y=6
\n" ); document.write( "b). perpendicular to 5x-2y= -1
\n" ); document.write( "pls show work so that i can see where i went wrong
\n" ); document.write( "thank in advance
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Algebra.Com's Answer #70909 by edjones(8007)\"\" \"About 
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find k so that the line thru (4,-1) and (k,2)is
\n" ); document.write( "a). parallel to 2x+3y=6
\n" ); document.write( "b). perpendicular to 5x-2y= -1
\n" ); document.write( "a) slope intercept form: y=mx+b m=slope
\n" ); document.write( "2x+3y=6
\n" ); document.write( "subtract 2x from both sides. 3y=-2x+6
\n" ); document.write( "divide 3 into both sides. y=-(2/3)x+2
\n" ); document.write( "m=-2/3 this is also the slope of (4,-1) and (k,2)
\n" ); document.write( "point slope form: y-y[1]=m(x-x[1])
\n" ); document.write( "-1-2=-2/3(4-k)
\n" ); document.write( "-3=-8/3-(-2/3k)
\n" ); document.write( "-3=-8/3+2/3k
\n" ); document.write( "add 8/3 to both sides. -1/3=2/3k
\n" ); document.write( "multiply 3/2 times both sides. k=-1/2=-.5 Ans.
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\n" ); document.write( "b) 5x-2y= -1
\n" ); document.write( "subtract 5x from both sides. -2y=-5x-1
\n" ); document.write( "divide -2 into both sides. y=2.5x+.5
\n" ); document.write( "m=5/2
\n" ); document.write( "for perpendicular line m=-1/m[1]=-2/5=-.4
\n" ); document.write( "point slope form: y-y[1]=m(x-x[1]) for(4,-1) and (k,2)
\n" ); document.write( "-1-2=-.4(4-k)
\n" ); document.write( "-3=-1.6+.4k
\n" ); document.write( "add 1.6 to both sides: .4k=1.4
\n" ); document.write( "divide.4 into both sides. k=3.5 Ans.
\n" ); document.write( "Ed\r
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