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What is the slope of a line perpendicular to x - 5y = -10?

What is the slope of a line parallel to 4x + y = -1?



What is the slope of a line perpendicular to x - 3y = 9?

What is the slope of a line parallel to 10x - 5y = 8?

What is the slope of a line parallel to 4x + 2y = 5?
User Isak Savo
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2 Answers

4 votes
y=-4x would be parallel to 4x + y = -1

y=-3x would be perpendicular to x - 3y = 9

y=-2x would be parallel to 10x - 5y = 8

y=2x would be parallel to 4x + 2y = 5
User Kunambi
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8.0k points
4 votes
slope of line perpendicular to : x - 5y = -10
-5y = -x - 10
y = 1/5x + 2.....slope here is 1/5...perpendicular line needs a negative reciprocal slope. All that means is flip the slope and change the sign.
1/5......flip.....5/1.....change the sign....-5/1...or just -5 <== answer

slope of line parallel to 4x + y = -1
y = -4x - 1...slope here is -4....parallel lines will have the same slope
answer is : -4

slope of line perpendicular to x - 3y = 9
-3y = -x + 9
y = 1/3x - 3....slope = 1/3.....flip...3/1....change sign...-3 <== answer

slope of line parallel to 10x - 5y = 8
-5y = -10x + 8
y = 2x - 8/5....slope = 2....parallel lines have same slope...answer = 2

slope of line parallel to 4x + 2y = 5
2y = -4x + 5
y = -2x + 5/2.....slope = -2


User Jorge Sawyer
by
8.2k points

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