Answer:
Perpendicular
Step-by-step explanation:
To determine whether two lines are parallel, perpendicular, or neither, we can examine the slopes of the lines.
Line 1: Points (0,4) and (2,0)
The slope = rise/run
m = -4/2 = -2
Line 2: (-2, 3) and (-4, 2)
The slope = rise/run
m = -1/-2 = 1/2
- Since the slopes of the two lines (-2 and 1/2) are not equal, the lines are not parallel.
- Since the product of the slopes is -1, which is the negative reciprocal of each other, the lines are perpendicular.
So, the lines through (0, 4) and (2, 0) and through (-2, 3) and (-4, 2) are perpendicular.
