Question

I need this asap. Would appreciate for y’all help

Answer 1

Answer:

-3/2, -1

Step-by-step explanation:

Each coordinate contains one $x$ value and one $y$ value, $(x,y)$.

If we work out the midpoint of each of these individually, it makes it much easier to find the midpoint of the line.

Let's take the $x$ values first. Our first  $x$ value is -4 and our second $x$ value is 1. Imagine the integers between -4 and 1 laid out in a sequence:

$-4, -3, -2, -1, 0, 1$

If you take the middle value of this sequence, you get the midpoint of the $x$ values.

In this case, the middle is between values -2 and -1, leaving us with a midpoint of -1.5. This as a fraction is $-\frac{3}{2}$.

Now let's look at the $y$ values. Our first $y$ value is 2 and our second $y$ value is -4. Again, let's imagine those numbers laid out in a sequence:

$2, 1, 0, -1, -2, -3, -4$

Here, the middle of these values is -1, and this is the midpoint of the $y$ values.

So if we put these two values in a coordinate, we get the midpoint of the line.

In this case, we get $(-\frac{3}{2} ,-1)$.