What is the length of the line segment between A(-10, 8) and B ( -10 ,-3)?
A. 18 units
B. 5 units
C. 11 units
D. 12 units
distance = √( (-3-8)^2 + (-10+10)^2)
= √(121 +0)
= √121
= 11
We can see this without any calculation.
Since the x values are the same for both points, the line is a vertical one.
So all we have to do is take the difference between -3 and 8 , which is 11
3E
To calculate the length of the line segment between two points in a coordinate plane, you can use the distance formula. The distance formula is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Here, (x1, y1) represents the coordinates of point A and (x2, y2) represents the coordinates of point B.
In this case, point A has coordinates (-10, 8) and point B has coordinates (-10, -3).
Substituting the values into the distance formula, we have:
d = √((-10 - (-10))² + (-3 - 8)²)
= √(0² + (-11)²)
= √(0 + 121)
= √121
= 11
Therefore, the length of the line segment between points A and B is 11 units.
So the correct answer is C. 11 units.