Final answer:
In the figure provided, there are 3 planes shown: A, F, and PD. The planes that contain points F and E are Plane F and Plane PD. Without additional information, we cannot determine if points A, B, and C are coplanar. The coordinate point of intersection of Line a and Line b is (-6, 4).
Step-by-step explanation:
In the given figure, there are 3 planes shown: A, F, and PD. So, the answer to the question is Option B.
To determine how many planes contain points F and E, we need to look at the figure. Based on the figure, we can see that Plane F and Plane PD pass through points F and E. Therefore, the answer to this question is Option B: AD.
Four coplanar points are points that lie on the same plane. Since we are not provided with a figure or additional information, it is difficult to name four specific coplanar points in this question. Thus, the answer to this question is A.
Points A, B, and C are coplanar if they all lie on the same plane. Without additional information, we cannot determine whether points A, B, and C are coplanar or not. Therefore, we cannot say for certain whether points A, B, and C are coplanar or not.
To find the intersection point of Line a and Line b, we need to solve their system of equations. Let's solve it step by step:
1. Start with Line a: x = 6 - 3y.
2. Substitute x in Line b equation: 4(6 - 3y) - 2y = -32.
3. Simplify: 24 - 12y - 2y = -32.
4. Combine like terms: -14y = -56.
5. Solve for y: y = 4.
6. Substitute y back into Line a equation: x = 6 - 3(4).
7. Simplify: x = 6 - 12.
8. Solve for x: x = -6.
Therefore, the coordinate point of intersection is (-6, 4).