Use point-slope form.
But first let's find the slope.
(4, 2), (2, 4)
m = y2-y1/x2-x1
m = (4 - 2)/(2 - 4)
m = 2/-2
m = -1
So this is the slope, now we can plug this into the equation along with any point.
y - y1 = m(x - x1)
Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.
Let's plug in point (4, 2):
y - 2 = -1(x - 4)
This can be one of your options.
Distribute -1:
y - 2 = -x + 4
Add 2 to both sides:
y = -x + 6
This can be another of your options.
Add 'x' to both sides:
x + y = 6
This can be another of your options.
Let's call them A B and C.
ABC
ACB
BAC
BCA
CAB
CBA
so there's 6 different ways
Subtract 6 on both sides


Multiply -2 on both sides to get "x" by itself

x = -8
Answer:
Part A) 
Part B) 
Step-by-step explanation:
we know that
In a parallelogram, opposite angles are congruent and consecutive angles are supplementary
step 1
Find the value of x
we know that
----> by definition of parallelogram (opposite angles are congruent)
substitute the given values

solve for x

step 2
Find the measure of angle R

substitute the value of x

step 3
Find the measure of angle S
we know that
---> by definition of parallelogram (consecutive angles are supplementary)
we have

substitute



To factor polynomials, find a common number to remove and leave the rest in parentheses. I did the odds, now you try the evens. If you still need help,, let me know.
1. 3 (x+4)
3. 5 (x+6y)
5. 3(2 a^2 + 9)
7. 3d (7c -1)
9. 15a (ab - 2b)