Question

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

Answer 1

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.