document.write( "Question 538744: which equation describes the line that passes through the point (4,-2) and is perpendicular to the line 4x-7y=28 \n" ); document.write( "

Algebra.Com's Answer #353248 by KMST(5328) $\"\"$ $\"About$

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$\"4x-7y=28\"$ ---> $\"7y=4x-28\"$ ---> $\"y=%284%2F7%29x-4\"$ shows the slope of the line is 4.
\n" ); document.write( "The perpendicular line has a slope of $\"1%2F%28-4%29=-1%2F4\"$ .
\n" ); document.write( "The point-slope form of the perpendicular line through (4, -2) written using point (4, -2) and slope -1/4 is
\n" ); document.write( " $\"y-%28-2%29=%28-1%2F4%29%28x-4%29\"$ or $\"y=2=-%281%2F4%29x%2B1\"$
\n" ); document.write( "There are as many point-slope forms as points in a line (infinity), but there is only one slope-intercept form of the equation, starting with \"y=\" and that is:
\n" ); document.write( " $\"y=-%281%2F4%29x-1\"$ \n" ); document.write( "

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