Question

The midpoint of line AB is point P at (−16,6). If point A is at (−10,8), what are the coordinates of point B?

Answer 1

B its B

Explanation:

I took the test

Answer 2

If point P is the midpoint of line АВ, then we can write the coordinates of the point P in this form:


`\cfrac{X_A+X_B}{2}=X_P \ ; \ \ \ \ \ \cfrac{Y_A+Y_B}{2}=Y_P`

We know that
`X_A=-10 \ ; \ \ Y_A=8; \ \ X_P=-16 \ ; \ \ Y_P=6`

Now we can write two equations and solve them to find
`X_B\ \ and \ \ Y_B`


`(-10+X_B)/(2)=-16 \\ -10+X_B=-16*2 \\ -10+X_B=-32 \\ X_B=-32+10 \\ \underline {X_B=-22}`


`(8+Y_B)/(2)=6 \\ 8+Y_B=6*2 \\ 8+Y_B=12 \\ Y_B=12-8 \\ \underline {Y_B=4}`

Answer: B(-22; 4)