Looks like all you have to do it multiply the numbers together; there is no application of the Distributive Property to these problems.
Answer:
See below
Step-by-step explanation:
The initial ordered-pairs are 
We have a rotation of 90 degrees counterclockwise with respect to origin
Note. Previously the points were

After the rotation, we have

Thus, 
Then shifting horizontally to the right 2 units, we get ΔA'B'C'
Thus,

Answer: 
Step-by-step explanation:
1. By definition, two slopes are perpendicular if their slopes are negative reciprocals of each other. So, let's find the slope of the other line.
2. The equation given in the problem is written in Point-slope form:

Where m is the slope.
3. Therefore, the slope of its perpendicular line must be:

4. You have the point (-5,7), so you can substitute it into the point-slope formula to find the equation of the new line:

5. In slope intercept form is:

3-(s+4)
less than- subtract
sum- addition
since it said 3 less than the sum of a number and 4 that means you would have to add s and 4