For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: Is the slope
b: Is the cut-off point with the y axis
According to the data of the statement we have two points through which the line passes:
![(x_ {1}, y_ {1}): (0, -2)\\(x_ {2}, y_ {2}): (6,0)](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%3A%20%280%2C%20-2%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%29%3A%20%286%2C0%29)
We found the slope:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 2)} {6-0} = \frac {0 + 2} {6} = \frac {2} {6} = \frac {1} {3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D%20%3D%20%5Cfrac%20%7B0%20-%20%28-%202%29%7D%20%7B6-0%7D%20%3D%20%5Cfrac%20%7B0%20%2B%202%7D%20%7B6%7D%20%3D%20%5Cfrac%20%7B2%7D%20%7B6%7D%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D)
Thus, the equation is of the form:
![y = \frac {1} {3} x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20x%20%2B%20b)
We substitute one of the points and find "b":
![-2 = \frac {1} {3} (0) + b\\-2 = b](https://tex.z-dn.net/?f=-2%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20%280%29%20%2B%20b%5C%5C-2%20%3D%20b)
Finally, the equation is:
![y = \frac {1} {3}x -2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7Dx%20-2)
Answer:
![y = \frac {1} {3}x -2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7Dx%20-2)
Answer:
11%
Step-by-step explanation:
To fine the percentage decrease, we use the formula change/original x 100. In this case, the change is $11000-$9799=$1201 while the original is $11000. So 1201/11000 x 100 = 10.9% ≈ 11%
Yes they’re congruent as they have exactly the same angles and sides
In the middle of 3 and 4 but a little more to the 3