Answer:
D.
Step-by-step explanation:
The equation given takes the point-slope form which is, 
. Where,
(a, b) = (x, y) coordinates of a point on the line.
m = slope of the line .
To find which graph has a line equation of 
, look for the points which will give you something almost exactly as the equation if you substitute their values into .
Let's consider option D.
We have a given point (1, 2). a = 1, b = 2.
Substitute these into
We have:
As you can see, this looks almost exactly as
.
If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into to find m:
In graph D, let's take the points (0, -1)
Divide both sides by -1
3 = m
m = 3.
Therefore, option D is the graph of the line .
2 apples in the partly filled tray, 11 tents are needed for all the children
Answer:
d-2 and d cannot = 8
Step-by-step explanation:
d^2 -10d+16
-----------------------
d-8
Factor the numerator
( d-8)(d-2)
-------------------
d-8
The undefined values occur when the denominator is equal to zero
d-8 = 0
d= 8
This means d cannot equal 8
Now cancel like terms in the equation ( d-8)
This yields d-2
an aritmetic sequence increases by the same amount each time (if it decreases, then it increases by a negative number)
the common difference is the number that must be added to a term to get the next term
let's see if it increases by the same amount
-5 to -11 is increase of -6
-11 to -17 is increase of -6
-17 to -23 is increase of -6
-23 to -29 is increase of -6
so it appears to be aritmetic
common difference is -6
-29-6=-35
-35-6=-41
-41-6=-47
the next 3 terms are -35, -41, -47
