Answer:
(-7,5)
Explanation:
I like to graph these. Take a look at the graph below: the green point is the midpoint, and the blue is the endpoint they gave us.
Would you agree that the other endpoint is somewhere up that green line?
But how far?
Well how far away is the blue dot from the midpoint:
- Along the x-axis? 2 units
- Along the y-axis? 6 units
Do you see how I was able to say that? I just counted along the x-axis and then the y-axis. And look at the points they gave us: what's the difference between -5 and -3? 2 units. Between -1 & -7? 6 units. Same as I pulled off the graph.
So now I can walk up that line by 2 x units and 6 y units. Where do I land? (-7,5)
If they want want you to use "The Distance Formula" or something you can, but graphing it first, even if just roughly, helps you with that.
For instance, now that you know that you need to move 2 units in the x direction and 6 in the y, you can use your rough graph to tell you if those numbers are positive or negative.
In this case, x is negative 2, so from Midpoint (-5,-1) you move left to -7. And y is positive 6, so you move up to 5. You end up at (-7,5), same as before.
It's all the same stuff, just different ways of getting there.