Question

On a coordinate grid, line AB has endpoint B at (24,16). The midpoint of line AB is P(4,-3). What is the coordinate of point A?

Answer 1

If you have points \((x_1,y_1)\) and \((x_2,y_2)\), then midpoint would be \(\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

So here, we know that \(x_2 = 24,~y_2 = 16\), so from here, we can plug in \(\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\);

\[4 = \dfrac{x_1+(24)}{2},-3 = \dfrac{y_1+(16)}{2}\]

Can you solve \(x_1\) and \(y_1\) here?

Answer 2

Hi, sorry Lol I was at school and the bell rang

Answer 3

and lol, the bonnie gif

Answer 4

Okay, so what you said, I tried the first time. It worked fine. The point should be (-16,-22), right? Then I wanted to check my work by finding the midpoint between that point and point B. That should match point P, right? Because it's the midpoint?

Answer 5

@geerky42

Answer 6

Yeah. You got it right :)

Answer 7

OKay, idk what I did wrong last time, but It did come out correct this time. Thanks for the help! C;

Answer 8

No problem :)