Write the equation of a line that contains (-8,4) and the midpoint of the segment connecting (-10,5) and (-5,0) in standard form.

I'm not sure what I'm doing wrong. I found the midpoint (-7.5, -3.5), found the slope, and put the equation in standard form. I got x + y = -12, but the answer key tells me I'm wrong (the answer is 3x + y = -20). Can someone help me work it out?

2 answers

midpoint of segment should be
(-7.5, 2.5)
Well, you found the midpoint wrong. It is (-7.5,2.5) unless there's a typo in the coordinates.

clearly x+y = -12 is wrong, since -8+4 = -4

That should have been your first clue.

Using correct midpoint, the slope is -3. So, the answer is

y-4 = -3(x+8)
y-4 = -3x-24
3x+y = -20