Question

the midpoint of ab is m(0,3). if the coordinates of a are (-4,-2), what are the coordinates of b? grade: 81% due: september 25 at 8:00 am section 1.2 & 1.3 hw score: 1/4 penalty: 1 off answer attempt 1 out of 2 submit answer watch video show examples find endpoint from midpoint and endpoint the midpoint formula segment addition / subtraction (numbers) segment addition / subtraction (algebra)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $A(x_1,y_1)$ and $B(x_2,y_2)$ is $M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-4,y_1 = - 2$, and $M(0,3)$.

Step2: Find the x - coordinate of B

Set up the equation for the x - coordinate of the mid - point: $\frac{-4+x_2}{2}=0$. Multiply both sides by 2: $-4 + x_2=0$. Then solve for $x_2$: $x_2 = 4$.

Step3: Find the y - coordinate of B

Set up the equation for the y - coordinate of the mid - point: $\frac{-2+y_2}{2}=3$. Multiply both sides by 2: $-2 + y_2=6$. Then solve for $y_2$: $y_2=8$.

Answer:

$(4,8)$