X equals negative 4 ( x=-4)
So you correctly wrote that the slope is represented by
Δy/Δx. The Greek capital letter delta means "change in," so we are looking at the change in y divided by the change in x. You might also hear this called "rise over run," because change in y is the vertical change (rise) and change in x is the horizontal change (run).
Now, to find the change in y and x, we need to take two points,

and

. We can then find the slope, m, as below:

So, as we're asked to state the slope and the behavior of the graph. Generally, if you see that as x increases, y increases, then the slope is positive. If y decreases, then the slope is negative. If y stays the same (constant), then the slope is zero. If x is constant, then the slope is undefined. Unfortunately, this worksheet also asks us to calculate the slope. So the equation above comes in handy!
1) let's take x = -1, y = -5 and x = 0, y = 3. We can write

and

(we can choose either point to be

so long as we're consistent.

This is a positive (+) change.
2)

Negative (–).
3)

Positive (+).
4)

Positive (+).
5)

Negative (–).
There are 2 answers one of them is 1/4 and the other is 25/100 they are both the same and if the answer is in decimals it would be 0.25
The equation of a circle is:

Where (xc,yc) are the coordinates of the center.
Center (5, -5)
Radius = 3
(x-5)²+(y+5)²=3²
x²-10x+25+y²+10y+25=9
x²+y²-10x+10y+41=0