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dimaraw
2 months ago
5

Is the line y = 3x – 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.

Mathematics
2 answers:
Inessa [12.5K]2 months ago
7 0
Y = 3x - 7...the slope here is 3 while the y-intercept is -7

3x + 9y = 9
9y = -3x + 9
y = -1/3x + 1....the slope of this line is -1/3 and the y-intercept is 1

the slopes 3 and -1/3 are negative reciprocals of one another...therefor, these lines are perpendicular.
lawyer [12.5K]2 months ago
4 0

Answer:

The lines are perpendicular since for perpendicular lines, the slopes are opposite reciprocals. To check this, rewrite the second equation into slope-intercept form giving y = (–1/3)x + 1. The slope of the first line is 3, while the slope of the second line is –1/3. Their product equals –1, showing they are opposite reciprocals. Consequently, the lines are perpendicular.

Step-by-step explanation:

sample response:)

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