document.write( "Question 1111899: write an equation of the line parallel to the line given by -2x+3y=5 and having the same y intercept is the line given by 5x-4y=0 \n" ); document.write( "

Algebra.Com's Answer #726939 by KMST(5328) $\"\"$ $\"About$

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When the equation of a line can be solved for $\"y\"$ ,
\n" ); document.write( "the resulting equation has the form $\"y=mx%2Bb\"$ ,
\n" ); document.write( "with $\"m\"$ and $\"b\"$ being constants called slope and y-intercept respectively.
\n" ); document.write( "The form $\"y=mx%2Bb\"$ of the many equivalent equations representing a line
\n" ); document.write( "is called the $\"slope-intercept\"$ form.
\n" ); document.write( "The line given by $\"5x-4y=0\"$ <--> $\"y=%285%2F4%29x\"$ <--> $\"y=%285%2F4%29x%2B0\"$ has
\n" ); document.write( "slope $\"m=5%2F4\"$ and y-intercept $\"b=0\"$ .
\n" ); document.write( "The line given by $\"-2x%2B3y=5\"$ <--> $\"3y=2x%2B5\"$ <--> $\"y=%282%2F3%29x%2B5%2F3\"$ has
\n" ); document.write( "slope $\"m=2%2F3\"$ and y-intercept $\"b=5%2F3\"$ .
\n" ); document.write( "Parallel lines have the same slope.
\n" ); document.write( "You are asking about a line with slope $\"m=2%2F3\"$ and y-intercept $\"b=0\"$ .
\n" ); document.write( "The equation for that line in $\"slope-intercept\"$ form is
\n" ); document.write( " $\"y=%282%2F3%29x%2B0\"$ or simply $\"highlight%28y=%282%2F3%29x%29\"$ . \n" ); document.write( "

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