Question
Is the line y = 3x – 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.
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Answers
Answered by
GPT 3.5
To determine if the line y = 3x – 7 is parallel or perpendicular to the line 3x + 9y = 9, we need to compare their slopes.
The slope of the line y = 3x - 7 is 3, because it is in the form y = mx + b, where m is the slope.
To find the slope of the line 3x + 9y = 9, we need to rewrite it in slope-intercept form (y = mx + b):
9y = -3x + 9
y = -1/3x + 1
The slope of the line 3x + 9y = 9 is -1/3.
Since the slopes of the two lines are not the same, they are neither parallel nor perpendicular to each other. They are simply two lines that intersect at different points.
The slope of the line y = 3x - 7 is 3, because it is in the form y = mx + b, where m is the slope.
To find the slope of the line 3x + 9y = 9, we need to rewrite it in slope-intercept form (y = mx + b):
9y = -3x + 9
y = -1/3x + 1
The slope of the line 3x + 9y = 9 is -1/3.
Since the slopes of the two lines are not the same, they are neither parallel nor perpendicular to each other. They are simply two lines that intersect at different points.
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