Question

What are the coordinates of point B in the diagram?

Answer 1

The coordinates of point B are (4, -5)

Explanation:

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Answer 2

When we analyze this diagram in xy coordinate system we can conclude that the line AB is intercepting x-axis at point (2.5, 0 ) and that is the midpoint of the line AB. We will use formulas for the middle point of the line:
`x= ( x_(1) + x_(2) )/(2) y= ( y_(1) + y_(2) )/(2)`
`2.5= (1+ x_(2) )/(2)`When we solve the equation: x2=4.
`0= (5+ y_(2) )/(2)` y2=-5
Answer: The coordinates of point B are (4, -5).