Exam 11: Analytic Geometry

Find the general form for the line through the points (-2,3)and (4,-1).

In the form , find the equation of the line that contains (5,2)and has the slope of .

Find the slope m of the line that contains the points (-3,-4)and (1,4).

Which line is parallel to the graph of ?

In the form , find the equation of the line through (0,-3)and (2,1).

Show that for any value of , the point having the form  lies on the plane whose equation is .

According to the Distance Formula, the distance between the points ( )and ( )is .

If points A and B have symmetry with respect to the origin, find B if A = ( ).

The sphere  has the center (0,0,0)and a radius of length 50 .

Find the slope of any line that is parallel to the line that is the graph of the equation .

Find the value of b so that the points (-1,3), (1,-1), and (3,b)are collinear.

The midpoint of the hypotenuse of a right triangle is equidistant from the threevertices of the triangle.

Where , the distance between the points ( a , c )and ( b , c )is ( )units.

Let the vertices of be the points M (0,0), N ( a ,0), P ( ), and Q ( b , c ). Which equation must hold true if the diagonals of are perpendicular?

The triangle with vertices at (0, 0), (0, b), and (a, 0)is a right triangle with the vertex of the rightangle at the point (0, 0).

While the coordinate axes separate the Cartesian plane into 4 subsets (quadrants), the xy plane, xz plane, and yz plane separte Cartesian space into:

In the form , find the equation of the line through (-2,-5)and (1,4).

Find the point of intersection for the lines whose equations are and .

Points A and B have symmetry with respect to the x-axis. If A = (4.5,-6.3), findthe coordinates of point B.

What is the value of x at the point of intersection of the lines and ?