Question

I NEED HELP FAST- WILL MEDAL
Given triangle ABC with A(-4, -2), B(4, 4), and C(18, -8), write the equation of the line containing the median that passes through point C in slope-intercept form.

Answer 1

first, you have to find the midpoint of the opposing side:
\[x = \frac{ -4 + 4 }{ 2 } = 0\]
\[y = \frac{ -2 + 4}{ 2 } = 1\]
so now we have the midpoint of segment AB, the opposing side.

next we find the equation of the line that passes through C and this midpoint:
\[(18, -8)(0, 1)\]
\[m = \frac{ 1 - (-8)}{ 0 - 18 } = \frac{ 9 }{ -18 } = \frac{ -1 }{ 2 }\]
now we have the slope of the median, and since the midpoint (0, 1) happens to also be the intercept, we can state the median in slope-intercept form:
\[y = \frac{ -1 }{ 2 }x + 1\]
and there you have it.

Answer 2

you are seriously awesome, thank you!

Answer 3

You're always welcome