Question

The coordinates of one end point of a line segment are (3, 4). The line segment is 5 units long. Give four other sets of possible coordinates of the line segment's other end points.

Answer 1

Answer: 4 points :

(8;4)

(-2;4)

(3;9)

(3;-1)

Explanation

GIVEN :

• one end point of a line segment = ( 3;4)

,

• Length of the line segment = 5

We can find four other points by adding and subtracting the value of 5 from the x and y intercept :

$\begin{gathered} \Rightarrow(3;4)\text{ :}(\text{ 3+5; 4})\text{ = }(\text{ 8;4}) \\ \Rightarrow(3;4)\text{ : }(3-5;\text{ 4})\text{ = }(-2;4)\text{ } \\ \Rightarrow(3;4)\text{ : }(3;\text{ 4+5})\text{ = }(3;\text{ 9})\text{ } \\ \Rightarrow(3;4)\text{ : }(3;\text{ 4-5})\text{ =}(3;\text{ -1})\text{ } \end{gathered}$

This means that the four poits are :

• (8;4)

,

• (-2;4)

,

• (3;9)

,

• (3;-1)