document.write( "Question 391648: i need your help on how to graph these graph y=0.5x-3 draw a parallel line to y=0.5x-3 that goes through the points (4,6) write an equation draw a line that is perpendicular to y=0.5x-3 and has a y - intercept of 4 \n" ); document.write( "

Algebra.Com's Answer #277852 by lwsshak3(11628) $\"\"$ $\"About$

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y=0.5x-3 is a straight line in the form of y=mx+b, with m being the slope and b the y-intercept
\n" ); document.write( "a line parallel to this line would have the same slope but may have a different y-intercept\r
\n" ); document.write( "\n" ); document.write( "The paallel line going through (4,6) would have a slope of .5 or 1/2
\n" ); document.write( "To find the y-intercept, insert the known slope of 1/2 and (x,y) values of (4,6), then solve for b
\n" ); document.write( "6=(1/2)*4+b
\n" ); document.write( "b=6-2=4
\n" ); document.write( "equation of parallel line: y=(1/2)x+4\r
\n" ); document.write( "\n" ); document.write( "The perpendicular line would have a slope = negative reciprocal of the slope of the given line=-2
\n" ); document.write( "with the y-intercept given,
\n" ); document.write( "equation of the perpendicular line: y=-2x+4\r
\n" ); document.write( "\n" ); document.write( "see graphs of these lines below\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+.5x%2B4%2C-2x%2B4%29+\"$ \n" ); document.write( "

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