document.write( "Question 143645: What is the equation of the line parallel to the line with equation y = 3/5x – 1 and passing through the origin? \n" ); document.write( "

Algebra.Com's Answer #104551 by solver91311(24713) $\"\"$ $\"About$

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Your equation is in slope-intercept form, $\"y=mx%2Bb\"$ , so you can tell by inspection that the line has a slope of $\"3%2F5\"$ and intercepts the y-axis at the point (0,-1). $\"y=m%5B1%5Dx%2Bb%5B1%5D\"$ is parallel to $\"y=m%5B2%5Dx%2Bb%5B2%5D\"$ if and only if $\"m%5B1%5D=m%5B2%5D\"$ , and a line that passes through the origin has a y-intercept of (0,0). Therefore, your equation is $\"y=%283%2F5%29x%2B0=%283%2F5%29x\"$ \n" ); document.write( "

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