Answer:
Explanation:
The lines are neither parallel nor perpendicular.
Two lines are parallel if and only if they have the same slope. Two lines are perpendicular if and only if the product of their slopes is -1.
To find the slope of a line given in the form of Ax + By = C, we can rearrange the equation into slope-intercept form (y = mx + b), where m is the slope.
The first line, 6x - 12y = 24, can be rearranged into slope-intercept form as follows:
12y = -6x + 24
y = -0.5x + 2
The slope of the first line is -0.5.
The second line, 4x + 2y = 8, can be rearranged into slope-intercept form as follows:
2y = -4x + 8
y = -2x + 4
The slope of the second line is -2.
Since the product of the slopes is not -1, the lines are not perpendicular. And since the slopes are not the same, the lines are not parallel. So, the lines are neither parallel nor perpendicular.