Problem

Find the x and y intercepts of the linear equation 2x - 3y = 6

Answer

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Answer

To find the y-intercept, set x = 0 and solve for y. In the equation \(2(0) - 3y = 6\), solving for y gives \(y = \frac{-6}{3} = -2\).

Steps

Step 1 ：To find the x-intercept, set y = 0 and solve for x. In the equation \(2x - 3(0) = 6\), solving for x gives \(x = \frac{6}{2} = 3\).

Step 2 ：To find the y-intercept, set x = 0 and solve for y. In the equation \(2(0) - 3y = 6\), solving for y gives \(y = \frac{-6}{3} = -2\).

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