Which line is parallel to line r?
line p
line q
line s
line t
The Correct Answer and Explanation is :
To determine which line is parallel to line ( r ), we need to look for a line that maintains the same slope as line ( r ). Parallel lines have identical slopes, meaning they will never intersect.
Steps to Find the Parallel Line:
- Identify the Slope of Line ( r ): The slope can be found from its equation, typically in the form ( y = mx + b ), where ( m ) is the slope.
- Compare with Other Lines: Once we have the slope of line ( r ), we check the equations of lines ( p ), ( q ), ( s ), and ( t ) to find which one has the same slope.
- Equation Forms: If any lines are given in standard form (like ( Ax + By = C )), we can convert them to slope-intercept form to extract their slopes.
- Final Verification: After identifying a candidate line with the same slope, we ensure no points on this line coincide with line ( r ).
Conclusion: The line that matches these criteria is the one that is parallel to line ( r ).
If you can provide the details or equations of the lines in the image, I can assist further in identifying the correct parallel line!