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Line p is defined by 2y + 18x = 9. Line r is perpendicular to line p in the xy-plane. What is

the slope of line r?
A. -9
B. – 1/9
C. 1/9
D. 9

User Osg
by
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1 Answer

2 votes

Final answer:

The correct answer is Option C. The slope of line r, perpendicular to line p (2y + 18x = 9), is 1/9.

Step-by-step explanation:

To find the slope of line r, which is perpendicular to line p, we first need to write line p in slope-intercept form (y = mx + b). The equation of line p given is 2y + 18x = 9. We can rearrange this to solve for y by subtracting 18x from both sides and then dividing by 2, resulting in y = -9x + 4.5. The slope (m) of line p is thus -9. Since line r is perpendicular to line p, its slope will be the negative reciprocal of -9, which is 1/9. Therefore, the correct answer is C. 1/9.

User Syed Ali Naqi
by
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