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\n" ); document.write( "get slope of original line from its equation: y = -6x + 1
\n" ); document.write( "---
\n" ); document.write( "the equation was given in slope-intercept form: y = mx + b
\n" ); document.write( "so:
\n" ); document.write( "m is the slope = -6
\n" ); document.write( "b is the y-intercept = 1
\n" ); document.write( "---
\n" ); document.write( "perpendicular lines have negative reciprocal slopes:
\n" ); document.write( "so the slope of the perp line = 1/(-m) = 1/6 = 0.166666
\n" ); document.write( "---
\n" ); document.write( "copy and paste this (the given point and the slope of the perp line):
\n" ); document.write( "5, -2, 0.166666
\n" ); document.write( "---
\n" ); document.write( "into the \"Point-Slope form: x1 y1 m\" input box of this solver:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "get the slope and the y-intercept of the perp line from the solver:
\n" ); document.write( "---
\n" ); document.write( "slope of perp line = 0.166666 = 1/6
\n" ); document.write( "y-intercept of perp line = -2.83333
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "write the equation of the perp line in slope-intercept form:
\n" ); document.write( "y = (0.166666x - 2.83333
\n" ); document.write( "y = (1/6)x - 51/18
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "