HELP ASAP 15 POINTS
If the plane intersects the cylinder vertically along an edge of the cylinder, the cross section is

A. Circle
B. Line
C. Rectangle
D. Oval

Option C.

Step-by-step explanation:

Cross section: In three-dimensional space, the non-empty intersection of a solid body and a plane is known as cross section.

A cylinder has two circular plane surface called edges (top and bottom) and curved surface.

If the plane intersects the cylinder vertically along an edge of the cylinder, then the plane is perpendicular to both edges and we get two pairs of opposite sides which are equal.

It means, the cross section of plane and cylinder is a rectangle.

Therefore, the correct option is C.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c