Write a two-column proof for the following information. given: m is the midpoint of cd; cm = 5x – 2; md = 3x + 2 prove: x = 2

M is the midpoint of CD. Given

Both ends of the line segment to M is equal. Definition of midpoint

CM = 5x-2 and MD = 3x+2. Given

CM = MD  definition of midpoint

5x-2 = 3x+2. Substitution

5x-3x = 2+2 2x = 4  Rules of Algebra x = 2

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)