which two equations represent perpendicular lines:

y= 2x-9
y= 1/2x+9
y= -1/2x+9
y= 1/2-9

They are all in y = mx + b form.

m is the slope

Pick the two with the same slope.

do you mean two with opposite reciprocals? Because wouldn't two with the same slope be parallel?

To determine if two lines are perpendicular, you need to compare their slopes. Perpendicular lines have slopes that are negative reciprocals of each other.

Let's analyze the equations:

1. y = 2x - 9
The slope of this line is 2.

2. y = (1/2)x + 9
The slope of this line is 1/2.

3. y = (-1/2)x + 9
The slope of this line is -1/2.

4. y = (1/2) - 9
This equation is incomplete or incorrect since it does not contain an "x" term.

Thus, the two equations that represent perpendicular lines are:
- y = 2x - 9
- y = (-1/2)x + 9