3 Dimensional Coordinate Geometry

Step 1: Write down the equation of the plane. Step 2: Rearrange the equation by grouping the terms with x, y, z, and the constant term. Step 3: Find the y-intercept. The y-intercept is the point where the plane intersects the y-axis. At this point, the x and z coordinates are zero ( ). Substitute these values into the plane equation. Step 4: Solve for y, which represents the y-intercept. Step 5: Use the given information that the y-intercept is 3. Step 6: Solve the equation for q. Thus, the value of q is 2.