Answer:
In order to find the slope (m), and the y-intercept of this coordinate pair, you must complete rise over run.
This is represented by y2-y1, x2-x1. This can be represented like so:
-4-0 = -4
5--4 = 9
Here, we have concluded that our slope is -4/9.
Now, we must convert this into point slope form. Point slope form is y-y1=m(x-x1). This will look like this in our situation:
y+4=-4/9(x-0)
To solve, distribute the -4/9 first, which will leave you with:
y+4=-4/9x+0
Now, subract the 4 to both sides of the equation.
Our final answer looks like: y=-4/9-4.
<em>-</em>
<em>SLOPE: -4/9</em>
<em>Y INTERCEPT: -4 </em>
ANSWER
Scale factor is 1.25
The dilation is an enlargement.
EXPLANATION
Let the scale factor of the dilation be k, then

We divide both sides by 5 to get,

This implies that,

Since the scale factor is more than one, the dilation is an enlargement.
Rearrange the like terms first.
1. 4x+3x+9=30
add the like terms
2. 7x+9=30
move the 9 to the other side.
3. 7x=30-9
subtract them
4. 7x=21
divide bothers sides by 7
5.

which it will end with the result of
x=3