Decide which ONE of the following statements is FALSE. A) A line contains at least two points
B) Three non-colinear points determine a plane
C) Through any two distinct points there exists exactly one line
D) Any three points lie on a distinct line

True or False.

A is true, a line has two points which are the two ends.

Choice D

Any three points lie on a distinct line

Explanation:

Let's go through each statement to see which are true, and which are false.

Side note: The spelling of "colinear" is sometimes "collinear" with two "L"s, instead of one. I'm not 100% sure which spelling is more acceptable. I've found sources that have used both.

inverse property is the answer

step-by-step explanation:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9