Final answer:
The equation of the line containing segment CD is y = x - 5 .
The correct option is not given.
Step-by-step explanation:
To find the equation of the line containing line segment CD, you can use the slope-intercept form of the equation: y = mx + b, where m is the slope and (b) is the y-intercept.
1. **Find the slope (m):**
The slope (m) of a line passing through two points (x_1, y_1) and (x_2, y_2) is given by:
m = {y_2 - y_1} / {x_2 - x_1}
Using points C(8, 3) and D(6, 1):
m = {1 - 3} / {6 - 8} = {-2} / {-2} = 1
2. **Find the y-intercept (b):**
Using the slope-intercept form \(y = mx + b\), you can substitute one of the points. Let's use point C(8, 3):
3 = 1 . 8 + b
b = 3 - 8 = -5
So, the equation of the line CD is y = x - 5.
Comparing this with the given options:
y = x - 5
None of the provided options match exactly. There may be a typographical error or a misinterpretation in the options. Please double-check the options or the calculation steps. If there is additional information or clarification needed, feel free to provide it.
The correct option is not given.