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2 years ago

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

2 answers:

7 0

Y = 3x - 7...slope here is 3 and y int is -7

3x + 9y = 9
9y = -3x + 9
y = -1/3x + 1....slope here is -1/3 and y int is 1

the slopes 3 and -1/3 are negative reciprocals of each other...therefore, ur lines are perpendicular

vampirchik [111]2 years ago

4 0

Answer:

The lines are perpendicular because perpendicular lines have slopes that are opposite reciprocals. To compare the slopes, you can rewrite the second equation in slope-intercept form as y = (–1/3)x + 1. The slope of the given line is 3, and the slope of the second line is –1/3. These have a product of –1, which means they are opposite reciprocals. Thus, the two lines are perpendicular.

Step-by-step explanation:

sample response :)

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