Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. y = –4x + 3 –2x + 8y = 5 (1 point) Responses
A. parallel
B. perpendicular
C. neither
To determine whether the lines are parallel, perpendicular, or neither, we need to compare their slopes.
The first equation is in slope-intercept form (y = mx + b) where m represents the slope. So, the slope of the first line is -4.
The second equation can be rearranged to slope-intercept form: -2x + 8y = 5
8y = 2x + 5
y = (2/8)x + 5/8
y = (1/4)x + 5/8
The slope of the second line is 1/4.
Since the slopes of the lines are not equal (-4 ≠ 1/4) and they are not negative reciprocals (the product of the slopes is not -1), the lines are neither parallel nor perpendicular.
Therefore, the answer is C. neither.