Question

Find the equation of the median from vertex A if the coordinates are A(-3,-1), B(3,5) and C(7,-3)

Answer 1

Answer:
`y-1=(1)/(4)(x-5)`

Explanation:

The median from vertex
`A` passes through
`A` and the midpoint of
`\overline{BC}`.

Using the midpoint formula, the midpoint of
`\overline{BC}` has coordinates
`\left((3+7)/(2), (5-3)/(2) \right)=(5, 1)`.

Therefore, we need the equation of the line passing through
`(-3,-1)` and
`(5,1)`.

The slope of this line is
`(-1-1)/(-3-5)=(1)/(4)`.

Using point-slope form, the equation is y
`y-1=(1)/(4)(x-5)`.