A line segment containing the points (0, 0) and (12, 6) also contains:
A: (6,4) B: (2,4) C: (8, 4) D: (1,0) E: (0,-6)
First, we need to figure out the equation for this line. Using the slope formula, we know that the slope of this line is 1/2. Furthermore, we know that that the y-intercept is 0 (because it contains the point [0,0]). Putting this in the form of a linear equation (y = mx + b, where m is the slope and b is the y-intercept), we end up with y = 1/2x.
Now, all we need to do is determine which of the ordered pairs above satisfies this equation. We know that the correct answer will be the one in which the y value is one-half of the x value. The answer is (C).
source: studyguidezone.com
