![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
How do I write the equation of the line that has a y-intercept of (0,-6) and is perpendicular to the line 3x - 6y = 8.
\n" ); document.write( ".
\n" ); document.write( "Remember the \"slope-intercept\" form:
\n" ); document.write( "y = mx + b (equation of a line)
\n" ); document.write( ".
\n" ); document.write( "From:\"the line that has a y-intercept of (0,-6)\" we now know:
\n" ); document.write( "b = -6
\n" ); document.write( ".
\n" ); document.write( "To find 'm', begin by finding slope of:
\n" ); document.write( "3x - 6y = 8
\n" ); document.write( "-6y = -3x+8
\n" ); document.write( "6y = 3x-8
\n" ); document.write( "y = (3/6)x-(8/6)
\n" ); document.write( "y = (1/2)x-(4/3)
\n" ); document.write( "a line that is perpendicular to the above line MUST have a slope that is the negative reciprocal:
\n" ); document.write( "(1/2)m = -1
\n" ); document.write( "m = -2
\n" ); document.write( ".
\n" ); document.write( "Plug 'm' and 'b' back into:
\n" ); document.write( "y = mx + b
\n" ); document.write( "to get your answer:
\n" ); document.write( "y = -2x + (-6)
\n" ); document.write( "y = -2x - 6\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "