You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
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The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
Answer:
50 Notebooks
Step-By-Step:
First write an equation
3/5x
The x represent the number of notebooks that can fit within the shelf.
So 3/5(50)=30
Answer:
4000 gallons.
Step-by-step explanation:
One day's discharge at the mouth of the river is 2 trillion gallons and it can supply all of country A's households for five months.
Now, if there are 100 million households in country A.
Then, the amount of water an average household uses each month will be given by
gallons. (Answer)
20 minutes* (1 hour/ 60 minutes)* (6 miles/ 1 hour)= 2 miles.
(Note that the units cancel out so you end up getting the answer)
The final answer is 2 miles~
Answer:
1 bottle: $0.40
2 bottle: $1.20
5 bottle: $2.00
Step-by-step explanation:
