document.write( "Question 526780: What is the equation of the line perpendicular to the line x-4y=6 through (3,5) in slope intercept form? \n" ); document.write( "

Algebra.Com's Answer #348689 by KMST(5328) $\"\"$ $\"About$

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The equation given for the first line is
\n" ); document.write( " $\"x-4y=6\"$
\n" ); document.write( "The slope intercept for for the first line is
\n" ); document.write( " $\"y=%281%2F4%29x-3%2F2\"$
\n" ); document.write( "The slope of that line is $\"1%2F4\"$
\n" ); document.write( "Slopes of perpendicular lines multiply to give you $\"-1\"$
\n" ); document.write( "so the slope of a perpendicular line will be
\n" ); document.write( " $\"m=-4=%28%28-1%29%29%2F%28%281%2F4%29%29\"$
\n" ); document.write( "Maybe you could say that for a point (x,y) in the perpendicular line, the slope of the line passing through that point and (3,5) is
\n" ); document.write( " $\"m=-4=%28y-5%29%2F%28x-3%29\"$
\n" ); document.write( "and work from there to the slope-intercept form.
\n" ); document.write( "Or maybe you are supposed to follow the recipe for the case when you have the slope and a point and write the point-slope form of the equation as
\n" ); document.write( " $\"m=-4=%28y-5%29%2F%28x-3%29\"$
\n" ); document.write( "and work from there to the slope-intercept form:
\n" ); document.write( " $\"y=-4x%2B7\"$
\n" ); document.write( "Some teachers like to see you follow recipes for solving problems. Others enjoy seeing a variety of ways to solve a problem. \n" ); document.write( "

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