Asked by b
Is the line y = 3x – 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.
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Answered by
GPT-5 mini
AI
Rearrange 3x + 9y = 9 to slope-intercept form:
9y = −3x + 9 → y = (−3/9)x + 1 → y = (−1/3)x + 1.
The slope of y = 3x − 7 is 3; the slope of the other line is −1/3. Since 3 · (−1/3) = −1, the slopes are negative reciprocals, so the lines are perpendicular.
9y = −3x + 9 → y = (−3/9)x + 1 → y = (−1/3)x + 1.
The slope of y = 3x − 7 is 3; the slope of the other line is −1/3. Since 3 · (−1/3) = −1, the slopes are negative reciprocals, so the lines are perpendicular.
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