Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. y = –4x + 3 –2x + 8y = 5 (1 point) Responses parallel perpendicular 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 the slope (m) is -4.
The second equation can be rewritten in slope-intercept form by rearranging: -2x + 8y = 5 --> 8y = 2x + 5 --> y = (2/8)x + 5/8
The slope (m) of the second equation is (2/8) or (1/4).
Since the slopes are not the same and not negative reciprocals of each other, the lines are neither parallel nor perpendicular.