Step-by-step explanation:
given,
point = ( -10, -8 ) and ( -8, -16 )
we know,
slope = y2 - y1 / x2 - x1
x1 , y1 = (-10 , -8 )
x2 , y2 = ( -8, -16 )
after inserting the values we got,
→ -16 - (-8 ) / -8 - (-10)
→ -8/2 → -4
therefore, slope of line is -4.
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Answer:
a) The table of values represents the ordered pairs formed by the elements of the sequence (
) (range) and their respective indexes (
) (domain):

1 6
2 11
3 16
4 21
5 26
b) The algebraic expression for the general term of the sequence is
.
c) The 25th term in the sequence is 126.
Step-by-step explanation:
a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...
The table of values represents the ordered pairs formed by the elements of the sequence (
) (range) and their respective indexes (
) (domain):

1 6
2 11
3 16
4 21
5 26
b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:
(1)
Where:
- First element of the sequence.
- Arithmetic difference.
- Index.
If we know that
and
, then the algebraic expression for the general term of the sequence is:

c) If we know that
and
, then the 25th term in the sequence is:


The 25th term in the sequence is 126.
Two planes intersect at a line. Not a point.
Answer:
Hello! Your answer would be below!
Step-by-step explanation:
Graph B)
Hope I helped! Ask me anything if you have questions!