To determine if the given equations are parallel, perpendicular, or neither, we need to compare the slopes of the two lines.
The given equations are in the form of "y = mx + b", where "m" is the slope of the line.
For the first equation, 8x - 2y = 4, we need to solve for y:
-2y = -8x + 4
Divide both sides by -2 to isolate y:
y = 4x - 2
Comparing this to the second equation, x + 4y = -12, we need to solve for y:
4y = -x - 12
Divide both sides by 4 to isolate y:
y = -0.25x - 3
Now we have the equations in slope-intercept form and can easily compare the slopes.
The first equation has a slope of 4, and the second equation has a slope of -0.25.
Since the slopes are not equal and their product is not -1, these lines are neither parallel nor perpendicular. Therefore, the answer is "Neither".
Determine if the given equations are parallel, perpendicular, or neither.
8x - 2y = 4
x + 4y = -12
*
1 point
Parallel
Perpendicular
Neither
1 answer