document.write( "Question 422862: Find an equation of the line in the slope-intercept form containing the point (1,-5) and perpendicular to the line 2x+y = -4 \n" ); document.write( "
Algebra.Com's Answer #295093 by tutorcecilia(2152)\"\" \"About 
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Remember the rule that perpendicular lines have slopes that are the negative inverse of each other.
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\n" ); document.write( "\n" ); document.write( "First find the slope of the first line by getting the y-value to one side:
\n" ); document.write( "2x+y= -4
\n" ); document.write( "y= -2x -4
\n" ); document.write( "In the slope-intercept format, y = mx + b, where the m-value represents the slope, so the slope is -2.
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\n" ); document.write( "Secondly, the slope of the second perpendicular line is the \"negative inverse\" of the first slope, so:
\n" ); document.write( "-2 becomes 1/2 (flip the slope and multiply it by a negative 1 (-1)).\r
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\n" ); document.write( "Thirdly, plug-in the values for the second line and put them in the y=mx+b form:
\n" ); document.write( "x= 1; y=-5; and the slope m = 1/2, so, we need to solve for the b-value:
\n" ); document.write( "y=mx+b
\n" ); document.write( "-5 =(1/2)(1) + b
\n" ); document.write( "-5-(1/2) = b
\n" ); document.write( "b=-5.5, so
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\n" ); document.write( "The second line is y = (1/2) x + 4.5
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\n" ); document.write( "You should go back and check this by plugging in all of the values.\r
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