Answer:
Step-by-step explanation:
Parallel line has same slope with the given, so the line is
Using the given point, finding the value of b
- -2 = -7 + b
- b = 7 - 2
- b = 5
The equation is
Answer:
Domain: {-15, 5, 9}
Step-by-step explanation:
A relation is a set of ordered pairs in the form of (x, y) that can be plotted in a coordinate plane. The Domain of a relation is the set of all the x-values represented in the set of given ordered pairs. In the set of four ordered pairs given there are four x-values in each pair: 9, -15, 5 and 5. When we identify the domain, we put the values in order from least to greatest and if a number repeats, in this case 5, we only need to include it once. This gives us the final set of {-15, 5, 9}.
Determine first the common difference (d) of the arithmetic sequence using the given terms,
d = (a17 - a6) / (17 - 6)
d = (113 - 36) / 11 = 7
Using the 17th term, 113, we get the value of a23 by,
a23 = a17 + (23 - 17) x 7
a23 = 113 + 42 = 155
Thus, the 23rd term is 155.
