Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. y = –x + 10 –2x + 8y = 6 (1 point) Responses A. parallel
B. pendicular
C. neither
To determine whether the lines are parallel, perpendicular, or neither, we need to compare their slopes.
First, let's put the second equation in slope-intercept form (y = mx + b):
-2x + 8y = 6 ⟹ 8y = 2x + 6 ⟹ y = (2/8)x + 6/8 ⟹ y = (1/4)x + 3/4
The first equation is already in slope-intercept form, y = -x + 10.
Comparing the slopes, we see that the slope of the first equation is -1 and the slope of the second equation is 1/4.
Since the slopes are not equal nor their product equal to -1, the lines are neither parallel nor perpendicular.
Therefore, the answer is C. neither.