Find the point where the line given by the equation 3x - 2y = 6 intersects the y-axis?
Solution
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 \(y = -\frac{6}{-2} = 3\)