To determine which lines are perpendicular, we need to find the slopes of each line on the graph. Two lines are perpendicular if the product of their slopes is -1 (meaning one slope is the negative reciprocal of the other).
Without the image, I can't calculate the exact slopes, but you can do it as follows:
1. Identify the coordinates of two points on each line (at least one point should be easily visible).
2. Use the formula for slope (m) between two points (x1, y1) and (x2, y2):
\[
m = \frac{y2 - y1}{x2 - x1}
\]
3. Calculate the slopes for lines A, B, C, and D.
4. Once you have the slopes:
- Check the ratio of slopes of pairs of lines to see if their product is -1.
Based on the options provided, if you find:
- For example, if the slope of line B is mB and the slope of line C is mC, check if \(mB * mC = -1\).
- Repeat for each pair based on the options.
Once you've calculated this, you can select the appropriate response based on your findings.
If you have the slopes:
- If Line B has a slope of \(mB \) and Line C has a slope of \(mC\) such that \( mB \cdot mC = -1 \), then the correct response would be:
"Line B is perpendicular to line C."
- Continue checking other line pairs until you've identified the correct relationships.
Feel free to provide the slopes or a more detailed description if you’d like further help!