Question

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

Answer 1

Explanation:

The midpoint formula is

`M=((x_1+x_2)/(2),(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)=((-4+x_2)/(2),(-7+y_2)/(2))` and we will solve for the missing values one at a time. x first:

`-5=(-4+x_2)/(2)` and

-10 = -4 + x₂ so

-6 = x₂ and do the same for y:

`-4=(-7+y_2)/(2)` and

-8 = -7 + y₂ so

-1 = y₂

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