Question

The midpoint m of gh has coordinates ( -5, -4) point h has coordinates (-4, -7) find the coordinates of point g

Answer 1

Answer:

Step-by-step explanation:

The midpoint formula is

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ and we have the coordinates of the midpoint and the coordinates of one endpoint. Filling that in we have:

$(-5,-4)=(\frac{-4+x_2}{2},\frac{-7+y_2}{2})$ and we will solve for the missing values one at a time. x first:

$-5=\frac{-4+x_2}{2}$ and

-10 = -4 + x₂ so

-6 = x₂ and do the same for y:

$-4=\frac{-7+y_2}{2}$ and

-8 = -7 + y₂ so

-1 = y₂

Thus, the coordinates of point g are (-6, -1)