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What is the equation of the line through the origin and (3,4)

User Belzebub
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1 Answer

5 votes

Answer:

y = (4/3)x

Explanation:

Remember that the origin is located at (0,0). Thus, we have 2 points on this line: (0,0) and (3,4). Going from (0,0) to (3,4), x increases by 3 and y by 4. Thus, the slope of this line is m = rise/run = 4/3. Since the line goes thru the origin, the y-intercept is b = 0, and so the equation of this line is y = (4/3)x.


User Frohlich
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