Answer:

Step-by-step explanation:
Hi there!
Slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Determine the slope</u>
where the two given points are
and 
Plug in the given points (-1, 4) and (0, 2)

Therefore, the slope of the line is -2. Plug this into
:

<u>2) Determine the y-intercept</u>

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.
One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.
Plug this back into the equation:

I hope this helps!
Answer:7
Step-by-step explanation:
from -4.5 to 0 is 4.5
from 0 to 2.5 is 2.5
4.5 +2.5=7
3.5 each of them will get 3 cookies and will split the last on in half
Answer:
A $0.02
Step-by-step explanation:
Let's solve how much does it cost to have a bulb on for an hour. ⇒ 120 watt = 0.1 kilowatt per hour which costs 0.20 per kilowatt per ⇒ 0.1 kilowatt per hour* 0.20 = 0.02 dollars in an hour.
Answer:
A sqrt(x+2) - sqrt(x)
Step-by-step explanation:
2
--------------
sqrt(x) + sqrt(x+2)
Multiply top and bottom by sqrt(x) - sqrt(x+2)
2 sqrt(x) - sqrt(x+2)
------------------------ * --------------------------
sqrt(x) + sqrt(x+2) sqrt(x) - sqrt(x+2)
FOIL the denominator
2 (sqrt(x) - sqrt(x+2))
------------------------------
sqrt(x^2) - sqrt(x) sqrt(x+2) + sqrt(x) sqrt(x+2) - sqrt(x+2)^2
2 sqrt(x) - 2 sqrt(x+2)
------------------------------
x - (x+2)
Distribute the minus sign
2 (sqrt(x) - sqrt(x+2))
------------------------------
x - x-2
2 (sqrt(x) - sqrt(x+2))
------------------------------
-2
Cancel the 2 in the top and bottom
(sqrt(x) - sqrt(x+2))
------------------------------
-1
Distribute the -1
sqrt(x+2) - sqrt(x)