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Question 580: Find the equation of the line parallel to y=5x-2 and passing through the origin.
Answer by janinecb(25) (Show Source):
You can put this solution on YOUR website! Parallel lines have the same slope. Using the formula y = mx + b where m is the slope and b is the y-intercept, we know that the slope of both lines is 5.
Since the coordinates of the origin are (0, 0), we know that the y-intercept of the new line is 0.
So, the equation of the new line can be written as y = 5x + 0 or y = 5x
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