Yes, you are on the right track! To determine whether the side through the points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3,18), you can follow these steps:
1. Calculate the slope of the first line:
- The formula to calculate the slope between two points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1).
- In this case, the two points are (2,3) and (11,6).
- Substitute the values into the formula: slope = (6 - 3) / (11 - 2).
2. Calculate the slope of the second line:
- The two points for the second line are (2,3) and (-3,18).
- Substitute the values into the formula: slope = (18 - 3) / (-3 - 2).
3. Compare the slopes:
- If the slopes are the same, then the lines are parallel.
- If the product of the slopes is -1, then the lines are perpendicular.
So, in this case, you need to calculate the slopes of the two lines and then analyze the results to determine whether they are parallel or perpendicular. Once you have calculated the slopes, you can post them here for me to check if they are correct!