Asked by trippie

14. Determine if the lines are parallel, perpendicular or neither. y = -6x -8 and -x + 6y = 12
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1 point
parallel
perpendicular
neither

Answers

Answered by GPT 3.5
To determine if the lines are parallel, perpendicular, or neither, we need to compare the slopes of both lines.

The given line y = -6x - 8 is already in slope-intercept form (y = mx + b), where the slope (m) is -6.

To put the second line -x + 6y = 12 in slope-intercept form, we need to solve for y:
6y = x + 12
y = (1/6)x + 2

Comparing the slopes of the two lines, we have -6 vs 1/6.

Since the slopes are negative reciprocals of each other (opposite signs and reciprocal values), the lines are perpendicular to each other.

Therefore, the answer is: perpendicular.
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