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15 votes
15 votes
What is the slope of a line perpendicular to the line whose equation is

6x + 15y = 225. Fully simplify your answer.

User Ciro
by
2.7k points

2 Answers

26 votes
26 votes

Final answer:

The slope of a line perpendicular to the line with equation 6x + 15y = 225 is 5/2.

Step-by-step explanation:

The equation of the given line is 6x + 15y = 225. To find the slope of this line, we need to rearrange the equation in the form y = mx + b, where m is the slope. Let's rearrange the equation:

6x + 15y = 225
15y = -6x + 225
y = (-6/15)x + 15

Now we can see that the slope of the given line is -6/15.

To find the slope of a line perpendicular to the given line, we need to take the negative reciprocal of the slope of the given line. The negative reciprocal of -6/15 is 15/6, which can be simplified to 5/2. So, the slope of a line perpendicular to the given line is 5/2.

User Yong
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3.0k points
4 votes
4 votes

Answer:

2 1/2

Step-by-step explanation:

6x + 15y = 225

15 y = -6x + 255

y = -6/15 x + 255/15 slope, m = -6/15

perpindicular slope = -1/m = 15/6 = 2 1/2

User David Homes
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3.3k points