document.write( "Question 654902: Write the equation of a line that passes through the point (10,3) and is perpendicular to a line containing the points (-5,-2) and (-3,8) in slope intercept form. \n" ); document.write( "
Algebra.Com's Answer #408869 by lwsshak3(11628)\"\" \"About 
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Write the equation of a line that passes through the point (10,3) and is perpendicular to a line containing the points (-5,-2) and (-3,8) in slope intercept form.
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\n" ); document.write( "Equation of a line: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "..
\n" ); document.write( "For line containing the points (-5,-2) and (-3,8):
\n" ); document.write( "Slope=∆y/∆x=(8-(-2))/(-3-(-5))=10/2=5
\n" ); document.write( "equation: y=5x+b
\n" ); document.write( "-2=5*-5+b
\n" ); document.write( "b=-2+25=23
\n" ); document.write( "equation: y=5x+23
\n" ); document.write( "..
\n" ); document.write( "For perpendicular line that passes through the point (10,3)
\n" ); document.write( "Slope=-1/5 (negative reciprocal of slope of first line
\n" ); document.write( "Equation: y=-x/5+b
\n" ); document.write( "solve for b using coordinates of given point (10,3)
\n" ); document.write( "3=-10/5+b
\n" ); document.write( "3=-2+b
\n" ); document.write( "b=5
\n" ); document.write( "Equation of perpendicular line:
\n" ); document.write( "y=-x/5+5 \n" ); document.write( "
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