document.write( "Question 565612: write an equation that has an x intercept of 3 and is perpendicular to the graph of 5x-3y=2 \n" ); document.write( "
Algebra.Com's Answer #365922 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
write an equation that has an x intercept of 3 and is perpendicular to the graph of 5x-3y=2
\n" ); document.write( ":
\n" ); document.write( "Put the equation in the slope/intercept form to find the slope (y = mx + b)
\n" ); document.write( "5x - 3y = 2
\n" ); document.write( "- 3y = -5x + 2
\n" ); document.write( "Multiply both sides by -1
\n" ); document.write( "3y = 5x - 2
\n" ); document.write( "divide both sides by 3
\n" ); document.write( "y = \"5%2F3\"x - \"2%2F3\"
\n" ); document.write( "Slope m1 = \"5%2F3\"
\n" ); document.write( ":
\n" ); document.write( "The relationship of slope in perpendicular lines is: m1*m2 = -1
\n" ); document.write( "Find m2
\n" ); document.write( "\"5%2F3\"*m2 = -1
\n" ); document.write( "m2 = \"-3%2F5\" is the slope of the perpendicular line
\n" ); document.write( ":
\n" ); document.write( "y = \"-3%2F5\"x + b
\n" ); document.write( "The x intercept occurs when y = 0, find b
\n" ); document.write( "\"-3%2F5\"*3 + b = 0
\n" ); document.write( "\"-9%2F5\" + b = 0
\n" ); document.write( "b = \"9%2F5\"
\n" ); document.write( "therefore
\n" ); document.write( "y - \"-3%2F5\"x + \"9%2F5\" is the equation of the perpendicular line with an x intercept of 3.
\n" ); document.write( ":
\n" ); document.write( "Graphically
\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );