find tbe distance between two points A(-6,7) B(-1-5)
Answers
Answer: 13 units
Step-by-step explanation:
Concept: If we have the coordinates of the two points in the XY plane, we can calculate the distance between them. The distance formula can be used to calculate the distance between A and B if A(x1, y1) and B(x2, y2) are the two points in a plane.
d = √[(x2 − x1)2 + (y2 − y1)2]
The vertical distance is determined by the difference between the y-axis coordinates and the horizontal distance by the difference between the x-axis coordinates.
Given: A(-6,7) and B(-1-5)
To find: The distance between two points A(-6,7) and B(-1-5)
When we compare the coordinates of the two points i.e.A(-6,7) and B(-1-5) using A(x1, y1) and B(x2, y2), we obtain,
x1=-6
y1=7
x2=-1
y2=-5
Now, As per the distance formula
AB = √[(x2 − x1)2 + (y2 − y1)2]
Putting the values in the distance formula
AB = √[(-6 - (-1))² + (7 -(- 5))²]
AB = √(-6+1)² + (7+5)²)
AB = √(-5)²+(12)²
AB = √25+144
AB=√(169)
AB= 13 units
The distance between two points A(-6,7) and B(-1-5) is 13 units.
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