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Can you explain the answer of this question below:
The points A and B have coordinates (3, 2) and (1, 4) respectively. So, the slope of any line perpendicular to AB is
- A:2
- B:1
- C:-1
- D:-2
The answer is b.
Verified Answer
Can you explain the answer of this question below:The points A and B h...
If the lines are perpendicular to each other then their slopes are in the form m1.m2 = -1.(since product of slopes of two perpendicular lines is -1) Therefore , m = 1.
Most Upvoted Answer
Can you explain the answer of this question below:The points A and B h...
Slope of the line AB = (y2 - y1)÷(x2-x1) i.e.1-3÷ 4-2= -1 let the slope of a line perpendicular to AB be m, then m × -1 = -1 (since product of slopes of two perpendicular lines is -1) Therefore , m = 1 i.e. option B
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Community Answer
Can you explain the answer of this question below:The points A and B h...
Explanation:
Given Information:
- Point A has coordinates (3, 2)
- Point B has coordinates (1, 4)
Finding the Slope of Line AB:
- The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: slope = (y2 - y1) / (x2 - x1)
- Substituting the coordinates of points A and B into the formula:
slope of AB = (4 - 2) / (1 - 3) = 2 / -2 = -1
Relationship Between Perpendicular Lines:
- The slopes of two perpendicular lines are negative reciprocals of each other. That is, if the slope of one line is m, the slope of a line perpendicular to it is -1/m.
Finding the Slope of a Line Perpendicular to AB:
- The slope of a line perpendicular to AB would be the negative reciprocal of the slope of AB.
- Thus, the slope of a line perpendicular to AB = -1 / (-1) = 1
Comparing Options:
- Option A: 2, Option B: 1, Option C: -1, Option D: -2
- As calculated above, the correct slope of a line perpendicular to AB is 1.
- Therefore, the correct answer is Option B: 1.
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