document.write( "Question 56715This question is from textbook
\n" ); document.write( ": Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x -4. \n" ); document.write( "

Algebra.Com's Answer #38494 by funmath(2933) $\"\"$ $\"About$

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Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x -4.
\n" ); document.write( "The slope intercept form of a line is $\"highlight%28y=mx%2Bb%29\"$ where m=slope and b=y-intercept.
\n" ); document.write( "The line they gave you has a slope of: $\"y=highlight%28%282%2F3%29%29x-4\"$ , m=2/3.
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals of each other, so turn the slope upside down and change its sign.
\n" ); document.write( "Our new line has a slope, m=-3/2 and a y-intercept,b=3. Plug those values into your slope intercept form of a line and you have:
\n" ); document.write( " $\"highlight%28y=%28-3%2F2%29x%2B3%29\"$
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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