How do you find the slope of the line that passes through the points (0,0) and (2,4)
1 answer:
To find the slope of a line that passes through the points (0,0) and (2,4), you need to find the rise over run, or the change in y over the change in x. To do this, you need to take both the y values and subtract one from the other, so in this case, subtract 4 from 0. This is your change in y, also known as the rise of your slope. Next you do the same for your x values, in this case you would subtract 2 from 0. This becomes your change in x, also known as the run of your slope. ( I included step by step equations below)
Slope = =
=
When you simplify your answer you get a slope of 2.
Hope this helps!
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Answer:
The sum of the two numbers is 15
Step-by-step explanation:
Let the counting numbers be x and y.
Then we can write the following equations
x=4y.......1 (one is four times greater )
x(y)=36.....2 (the product of the two)
Putting equation 1 into equation 2, we get
4y(y)=36
Dividing through by 4,we get
Taking square root of both side, we obtain
y=3
Putting the value of y into equation , we get
x=4(3)=12
Hence the numbers are 3 and 12
Therefore the sum of the two numbers is 3+12=15
Problem 10
You are correct. The answer is choice C. The cm^3 notation represents cubic centimeters, which is a unit for volume. Think of a 1 cm by 1 cm by 1 cm cube.
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Problem 11
This problem is a bit strange. She borrows money ($100) but then it says she earns $300 per day. It makes no mention of her paying that $100 back, or when it's due back. I'll just assume that she keeps the $100 for the 12 days.
If that assumption is correct, then she'll have y = 300x+100 dollars after x days.
Plug in x = 0 and you'll get y = 100. Plug in x = 12 and you'll end up with y = 3700. Therefore, the two points on this graph are (0,100) and (12,3700).
The only window that has y = 3700 in it is the interval while the other windows are too small. So only choice D is the answer here. In other words, you'll have "yes" on choice D, and "no" on everything else.