Question

What are the coordinates of point B????
:)​

Answer 1

• Answer:

B = ( -3, 4)

Explanation:

• Define:

Given that AB = (-5) and AO = (2)

AB = (1) and AO = (3)

• Analyze:

Let's say point A has coordinates:

(x1, y1)

• Point B has the following coordinates:

(x2, y2)

• Since:

AO = (2), we have x1 = 2

AO = (3)

y1 = 3, also since AB = (-5)

(1) we have

x2 - x1 = -5 and, y2 - y1 = 1

• Solving for x2 and y2, now we get:

x2 = x1 - 5 = 2 - 5 = -3

y2 = y1 + 1 = 3 + 1 = 4

• Draw a conclusion:

Therefore, the coordinates of Point (B) are:

( -3, 4)

AB = B - A

(-5) = ( x ) - (2)

(1) = ( y ) - (3)

( -5) + (2) = (x)

(1) + (3) = (y)

(x) = ( -5 + 2 )

(y) = (1 + 3)

(x) = (-3)

(y) = (4)

• Hence, The Coordinates of (B) are:

B = ( -3, 4 )

I hope this helps!