Problem

Find the point where the line given by the equation 3x - 2y = 6 intersects the y-axis?

Answer

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Answer

Solving this equation for y, we get: \(-2y = 6\) or \(y = -\frac{6}{-2} = 3\)

Steps

Step 1 ：First, we recall that any point on the y-axis has an x-coordinate of 0. So, we substitute x = 0 into the given equation, which gives us: \(3(0) - 2y = 6\)

Step 2 ：Solving this equation for y, we get: \(-2y = 6\) or \(y = -\frac{6}{-2} = 3\)

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