y = –one fourthx + 10 and –2x + 8y = 6
(1 point)
Responses
parallel
perpendicular
neither
To determine the relationship between the two lines, we need to compare their slopes.
The first equation is in slope-intercept form, y = -1/4x + 10, which means its slope is -1/4.
The second equation can be rewritten in slope-intercept form by isolating y:
-2x + 8y = 6
8y = 2x + 6
y = 1/4x + 3/4
The slope of the second equation is 1/4.
Since the slopes are negative reciprocals of each other (-1/4 and 1/4), the lines are perpendicular to each other.
Therefore, the correct response is perpendicular.