In the slope intercept form, b represents the y intercept.
y = mx +- b
Therefore, if the y intercept is at 6, the formula of the line will look like
<span>y=mx + 6
</span>
This eliminates the first two options,

and

and leaves behind

and

Since the line you indicated is sloping downwards towards the lower right hand corner. It must have a negative slope.
Therefore, the answer must be the 3rd option.
<span>

</span>
Answer:
B and C
Step-by-step explanation:
All you need to do is find the answer for all of them and see which ones match
Original:
6 + (-4) - 5
6 - 4 - 5
2 - 5
<u><em>-3</em></u>
This is the answer for the original expression, now we need to see which one is the correct match....
A. -(-6 + 4 ) - 5
2 negatives being subtracted gives you a positive
6 + 4 - 5
10 - 5
5
Incorrect, so now we know its not A
B. 6 - 4 - ( -5)
Again 2 negatives give you a positive
6 - 4 + (5)
6 - 9
-3
Correct, so now we know its B
C. 6 - (4 + 5)
PEMDAS so do the parenthesis first
6 - 9
-3
Correct, so now we it's C.
D. 6 + 4 - 56
10 - 56
-46
Incorrect, so now we know its not D
E. -(-6) + (-4) - (-5)
Again, 2 negatives equal a positive
6 - 4 + 5
2 + 5
7
Incorrect so now we know its not E
The correct answer is C
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer: 9.2 miles
Step-by-step explanation:
A) The variable on the horizontal axis of the graph (the independent variable) is "pounds of rice". That is what the first number in the ordered pair (6, 18) represents.
The variable on the vertical axis of the graph (the dependent variable) is "total cost in dollars". That is what the second number in the ordered pair represents.
(6, 18) represents that the total cost of purchasing 6 lbs of rice is $18.
B) The unit price is found at the point where the independent variable has the value 1. That would be at the point (1, 3), which indicates the unit price is $3 per pound.
C) You would have to buy 4 lbs of rice for the total cost to be $12. There are at least two ways to find the answer.
- Draw a horizontal line on the graph at cost = $12. It intersects the graph at lbs = 4.
- Divide the total cost by the unit price. $12/($3/lb) = 4 lb.
The paramount problem facing Hamilton was a huge national debt. He proposed that the government assume the entire debt of the federal government and the states. His plan was to retire the old depreciated obligations by borrowing new money at a lower interest rate.