SOLUTION: What is the equation of the line parallel to the line with equation y = 3/5x – 1 and passing through the origin?

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Question 143645: What is the equation of the line parallel to the line with equation y = 3/5x – 1 and passing through the origin?
Answer by solver91311(24713) About Me  (Show Source):
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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