Which of the following coordinates for P will make line MN perpendicular to line OP in the diagram below?
Since a diagram is not given, we cannot determine the coordinates for P that will make line MN perpendicular to line OP.
I'm sorry, but I cannot see the diagram you are referring to. Could you please provide more information or describe the diagram in detail?
I'm sorry, but I cannot see the specific diagram you are referring to. However, I can explain how to determine if two lines are perpendicular based on their coordinates.
To determine if two lines are perpendicular, we need to compare the slopes of the lines. If the product of the slopes is -1, then the lines are perpendicular.
Let's assume that line MN is defined by the points (x₁, y₁) and (x₂, y₂), and line OP is defined by the points (a, b) and (c, d).
First, we need to find the slopes of the lines. The formula to calculate the slope, denoted as m, is:
m = (y₂ - y₁)/(x₂ - x₁)
Calculate the slope of line MN using the coordinates of its two points.
Next, calculate the slope of line OP using the coordinates of its two points.
Finally, multiply the two slopes. If the product is equal to -1, then line MN is perpendicular to line OP.