First thing to do is to solve each of these for y. The first one is y=-4x-3; the second one is y=4x-21; the third one is y=4x+21; the fourth one is y=-4x+3. From that you can tell the positive slopes are found in the second and third equations. Those are the ones we will test now for the point (3, -9). y=-9 and x=3, so let's fill in accordingly. The second equation filled in is -9=4(3)-21. Does the left side equal the right when we do the math? -9=12-21 and -9=-9. So the second one works. Just for the sake of completion, let's do the same with the third: -9=4(3)+21. Does -9=12+21? Of course it doesn't. Our equation is the second one above, y+9=4(x-3).
Answer:(6,-1)
Explanation:The slope of the line can be calculated using the following formula:
slope =
We are given that:slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):slope =
![\frac{-1-5}{6--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1-5%7D%7B6--2%7D%20)
= -0.75 ........> accepted choice
For point (2,8):slope =
![\frac{8-5}{2--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8-5%7D%7B2--2%7D%20)
= 0.75 ........> rejected choice
For point (-5,1):slope =
![\frac{1-5}{-5--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%7D%7B-5--2%7D%20)
= 4/3 ........> rejected choice
For point (1,1):slope =
![\frac{1-5}{1--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%7D%7B1--2%7D%20)
= -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)
Answer:
22.407 < 22.416 because the value of the 0 in the hundredths place is less than the value of the 1.
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Step-by-step explanation:
Answer:
![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
If there are 9 marbles in total and the desired outcome is to pick a green marble then the probability is
=
which simplifies down to a third.