15. Determine if the lines are parallel, perpendicular or neither. y = 4x + 12 and x + 4y = 32

Question

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1 point
parallel
perpendicular
neigher

Answer 1

To determine if the lines are parallel, perpendicular, or neither, we need to compare their slopes.

The first line, y = 4x + 12, is in slope-intercept form (y = mx + b), where the slope (m) is 4.

The second line, x + 4y = 32, can be rearranged to slope-intercept form as y = (-1/4)x + 8, where the slope (m) is -1/4.

Since the slopes of the two lines are not equal and do not multiply to give -1, the lines are neither parallel nor perpendicular to each other.

Therefore, the correct answer is neither.