SOLUTION: Line 1 is described by the equation 3y - 2x = -3. Line 2 goes through the origin and intersects line 1 at x=6. What equation describes line 2?

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Question 218689: Line 1 is described by the equation 3y - 2x = -3. Line 2 goes through the origin and intersects line 1 at x=6. What equation describes line 2?
Answer by drj(1380) About Me  (Show Source):
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Line 1 is described by the equation 3y - 2x = -3. Line 2 goes through the origin and intersects line 1 at x=6. What equation describes line 2?

Step 1. At x=6 then to find y substitute into 3y-2x=-3

3y-2%2A6=-3

Add 12 to both sides of the equation

3y-12%2B12=-3%2B12

3y=9

Divide 3 to both sides of the equation

3y%2F3=9%2F3

y=3

Step 2. The intersection point is (6,3)

Step 3. We can find the equation of line 2 with these two points: (0,0) and (6,3).

Step 4. Slope m=%283-0%29%2F%286-0%29=1%2F2 and y-intercept b=0 since it passes through the origin (0,0)

Step 5. ANSWER: The equation is y=x%2F2

I hope the above steps and explanation were helpful.

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Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

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Dr J

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