Are these lines parallel, or perpendicular
2x+4y=4
4x-2y=1
I think they are niether
slope of first = -1/2
slope of second = 2
Do you want to re-evaluate your decision ?
so are the perpendicular?
yes, the slopes are negative reciprocals of each other
To determine if two lines are parallel or perpendicular, we need to examine their slopes.
First, let's rewrite the given equations in slope-intercept form (y = mx + b), where m represents the slope:
2x + 4y = 4
4y = -2x + 4
y = -0.5x + 1
4x - 2y = 1
-2y = -4x + 1
y = 2x - 0.5
Now we can compare the slopes of the two lines. If the slopes are equal, the lines are parallel. If the slopes are negative reciprocals (one is the negative inverse of the other), the lines are perpendicular.
The slope of the first line (y = -0.5x + 1) is -0.5
The slope of the second line (y = 2x - 0.5) is 2
Since the slopes are neither equal nor negative reciprocals of each other, the given lines are neither parallel nor perpendicular.