document.write( "Question 576464: Find the equation of the line perpendicular to 2x+3y=12 and passes thru the point (-4,6) \n" ); document.write( "

Algebra.Com's Answer #369855 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Since in the given equation the

and

terms are on the same side of the equals sign, take the opposite of the coefficent on

and divide by the coefficient on

to find the slope of the line represented by the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Use the point-slope form of an equation of a line to write the desired equation:\r
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\n" ); document.write( "\n" ); document.write( "where

are the coordinates of the given point and

is the calculated slope.\r
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\n" ); document.write( "\n" ); document.write( "Put the derived equation into either Standard or Slope-Intercept Form as desired by your teacher/professor/instructor.0\r
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\n" ); document.write( "\n" ); document.write( "However, please note that you cannot write \"the\" equation of any line. You can only write \"an\" equation of a line. In the first place, you could just substitute the values in the point-slope form and have an equation of the desired line, or you could solve for

to put it into slope-intercept form, or you could rearrange it into standard form, namely

. Furthermore, for a given

, and

where

describes a set of equations with an infinite number of elements, each of which graphs to the same line in

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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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