Question

Segment AB has point A located at (4, 2). If the distance from A to B is 3 units, which of the following is the coordinate for point B?
(5, 2)

(1, 5)

(4, -1)

(-2, 2)

Answer 1

Answer:

Step-by-step explanation:

Given  : Segment AB has point A located at (4, 2). If the distance from A to B is 3 units,

To find : which of the following is the coordinate for point B.

Solution : We have given that

Line AB has one point A ( 4 ,2) and distance from A to B is 3 units.

Distance formula :

$d^{2} = (x_{2}-x_{1} )^{2} - (y_{2}- y_{1} )^{2}$.

Now plugging the values

d = 3  , $x_{1} = 4 , y_{1} = 2$.

$3^{2} = (x_{2}- 4 )^{2} - (y_{2}- 2 )^{2}$.

9 =

Answer 2

The distance between two points is given by:
d² = (x₂-x₁)² + (y₂ - y₁)²
9 = (x₂ - 4)² + (y₂ - 2)²
Now, we can check different ordered pairs in this equation to see which satisfies it:
The one that satisfies this equation is (4 , -1).