Answer:
slope = -
, point on line = (4, - 3 )
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y + 3 = -
(x - 4) ← is in point- slope form
with slope m = -
and point on line (a, b ) = (4, - 3 )
Answer:
Step-by-step explanation:
The slope would be rise 2 over 1
Answer:
12
step by step equation:
Lindsay owns 12 books.
Step-by-step explanation:
We can solve this question using a system of equations.
I am going to say that:
x is the number of books that Lindsay owns.
y is the nuber of books that Destiny owns.
z is the number of books that Henry owns.
Lindsay owns one-third the number of books that Destiny owns.
This means that:
, or
Henry owns a fourth as many books as Destiny.
This means that , or . Also, in function of x, we may have
Together they own 57 books.
This means that
We want to find x. So
Lindsay owns 12 books.
Answers:

========================================================
Explanation:

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

and so on. This process may take a while to reach 
There's a shortcut. The nth term of any arithmetic sequence is

We plug in
and simplify

Then we can plug in various positive whole numbers for n to find the corresponding
value. For example, plug in n = 2

which matches with the second term we found earlier. And,

---------------------
The notation
refers to the sum of the first ten terms 
We could use either the long way or the shortcut above to find all
through
. Then add those values up. Or we can take this shortcut below.

The sum of the first ten terms is -85
-----------------------
As a check for
, here are the first ten terms:
- t1 = 5
- t2 = 2
- t3 = -1
- t4 = -4
- t5 = -7
- t6 = -10
- t7 = -13
- t8 = -16
- t9 = -19
- t10 = -22
Then adding said terms gets us...
5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85
This confirms that
is correct.