Answer:
Step-by-step explanation:
The equation of the line that is parallel to the line we are trying to find is
We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:
Therefore the equation of the line is:
Step-by-step explanation:
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In the plane, we have
everywhere. So in the equation of the sphere, we have
which is a circle centered at (2, -10, 0) of radius 4.
In the plane, we have
, which gives
But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the plane,
, so
which is a circle centered at (0, -10, 3) of radius .