Observe the given figure.
Given: 
To prove: 
Statement
1.
Reason: Given
2. 
Reason: Substitution
3. 
are alternate interior angles.
Reason: Definition of alternate interior angles
4.
Reason: If alternate interior angles are equal, then the lines are parallel.
Find the negative reciprocal of the given line's slope in order to determine what the slope of the line will be.
-2/5 -> -5/2 -> 5/2
Your line now looks like this: y = 5/2x + b
Now, substitute the given point into the y and x variables and solve for b.
y = 5/2x + b
-3 = 5/2(2) + b
-3 = 5 + b
-8 = b
You are now done. The line is y = 5/2x - 8.
Answer:
44x + 54
Step-by-step explanation:
The nth term of an arithmetic sequence is given by :
Tn = a + (n - 1)d
d = common difference = T2 - T1
d = T2 - T1
a = first term = - x + 9
d = 4x + 14 - (-x + 9)
d = 4x + 14 + x - 9
d = 5x + 5
The 10th term:
T(10) = (-x + 9) + (10 - 1)*(5x + 5)
T(10) = - x + 9 + 9(5x + 5)
T(10) = - x + 9 + 45x + 45
T(10) = 44x + 54
Hence, the 10th term is 44x + 54
