To determine whether the lines are parallel, perpendicular, or neither, we need to compare the slopes of the lines.
First, let's rewrite the second equation in slope-intercept form (y = mx + b):
-2x + 8y = 6
8y = 2x + 6
y = 1/4x + 3/4
Comparing the slopes of the lines, we can see that the first equation has a slope of -1/4, while the second equation has a slope of 1/4.
Since the slopes are negative reciprocals, the lines are perpendicular.
Therefore, the answer is B. perpendicular.
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = –1/4x + 10
-2x + 8y = 6
A. parallel
B. perpendicular
C. neither
1 answer