A plane has the equation 3x 7y + 5z = 54. Points P1(6, 2, z1) and P2(4, 3, z2) are on

Chapter 10, Problem 9

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A plane has the equation 3x 7y + 5z = 54. Points P1(6, 2, z1) and P2(4, 3, z2) are on the plane. Find the z-coordinates of the two points. How far apart are the points? What is the y-intercept of the plane (the value of y when the other two variables equal zero)?

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