SOLUTION: Write the standard form equation of the line passing through the origin parallel to y=2/3x-3.
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Question 1040696
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Write the standard form equation of the line passing through the origin parallel to y=2/3x-3.
Answer by
jim_thompson5910(35256)
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y=2/3x-3 is in the form y = mx+b where the slope is m = 2/3
ANY line parallel to the given one is going to also have a slope of 2/3. All parallel lines have the same slope.
This unknown line has a slope of 2/3 and must go through the origin. Which means that the y intercept is 0.
Slope = 2/3
y intercept = 0
So we know m = 2/3 and b = 0 turning y = mx+b into y = (2/3)x + 0 which simplifies to
Final Answer: