The slope of a line through points
![A(x_1, y_1)](https://tex.z-dn.net/?f=A%28x_1%2C%20y_1%29)
and
![B(x_2, y_2)](https://tex.z-dn.net/?f=B%28x_2%2C%20y_2%29)
is :
![\displaystyle{ \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20)
or
![\displaystyle{ \frac{y_1-y_2}{x_1-x_2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20%5Cfrac%7By_1-y_2%7D%7Bx_1-x_2%7D%20)
,
it is the same thing, BUT it it always y's over x's and always in the same order of 1 and 2:
don't write:
![\displaystyle{ \frac{y_1-y_2}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20%5Cfrac%7By_1-y_2%7D%7Bx_2-x_1%7D%20)
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The slope of the line through the points <span>(-23, -17) and (-13, -7) is :
</span>
![\displaystyle{ \frac{-17-(-7)}{-23-(-13)}= \frac{-17+7}{-23+13}= \frac{-10}{-10}=1](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20%20%5Cfrac%7B-17-%28-7%29%7D%7B-23-%28-13%29%7D%3D%20%5Cfrac%7B-17%2B7%7D%7B-23%2B13%7D%3D%20%5Cfrac%7B-10%7D%7B-10%7D%3D1%20%20%20)
<span>
Answer: 1</span>
I surely don't have any clue on how to that type of math sorry.
Answer:
vb hyjv bnhyn g
Step-by-step explanation:
Ok. You can use equations to find out what number of each meal was eaten.
x*14+y*17=99
If you solve for x and y (I used guess and check- there's only a few possible combinations) and got one chicken dinner and five steak dinners.
Answer:
All three.
Step-by-step explanation:
All three of these ratios are equivalent to 15:5. Here's how:
Let's look at the first ratio, 9:3. Did you notice something common? 3 x 3 = 9. 9/3 = 3. 5 x 3 = 15. 15/3 = 5. Both of these numbers are divisible by 3, so these ratios are equivalent.
Second. 6:2. 2 x 3 = 6. 6/3 = 2. 5 x 3 = 15. 15/3 = 5. See the similarity? The same applies to the next problem, number three, although it does slightly differentiate.
Third, 3:1. See, here, since the ratio is smaller than the problem, we can't multiply, since this ratio is smaller than the original number. But, it's still the same thing. A ratio is a number that compares a value to another value. This means that 3:1 is 3 compared to one. Now, let me clarify. 15:5. 3:1. These are the exact same values, except they are just written in a different form, and simplified. Since 5 x 3 = 15, we know that we can divide 15 evenly by 5, which makes it 3, and divide 5 evenly by 5, which equals one. So here we have our answer for the third problem. 5:1.
Ratios are basically division, except simplified. Every single ratio problem works this way. Once you get the hang of it, it's immensely easy. Hope this helped!