Find the points at which the plane 3x-4y+z=12 intersects the coordinate axis and find the equations of the lines where the plane intersects the coordinate planes.

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- October 25th 2012, 07:18 PMjessicadowningWhere does the plane intersect the axis?
Find the points at which the plane 3x-4y+z=12 intersects the coordinate axis and find the equations of the lines where the plane intersects the coordinate planes.

- October 25th 2012, 08:27 PMTheEmptySetRe: Where does the plane intersect the axis?
To find the x-intercept set the y and z coordinates equal to zero. This gives

Now do the same thing with y and z, set the other two coordinates to zero.

To find the equation of the line in the xy plane, set

This gives

Again do the same thing with the other two coordinates.