Answer:
![y=-\frac{1}{9}x-\frac{5}{9}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B9%7Dx-%5Cfrac%7B5%7D%7B9%7D)
Step-by-step explanation:
![(-14,1)(13,-2)](https://tex.z-dn.net/?f=%28-14%2C1%29%2813%2C-2%29)
Use the slope-intercept formula:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m is the slope and b is the y-intercept. Use the slope formula first:
![\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%3D%5Cfrac%7Brise%7D%7Brun%7D)
Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:
![(-14(x_{1}),1(y_{1}))\\(13(x_{2}),-2(y_{2}))](https://tex.z-dn.net/?f=%28-14%28x_%7B1%7D%29%2C1%28y_%7B1%7D%29%29%5C%5C%2813%28x_%7B2%7D%29%2C-2%28y_%7B2%7D%29%29)
![\frac{-2-1}{13-(-14)}](https://tex.z-dn.net/?f=%5Cfrac%7B-2-1%7D%7B13-%28-14%29%7D)
Simplify parentheses (two negatives makes a positive):
![\frac{-2-1}{13+14}](https://tex.z-dn.net/?f=%5Cfrac%7B-2-1%7D%7B13%2B14%7D)
Simplify:
![\frac{-3}{27} =-\frac{3}{27}=-\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B27%7D%20%3D-%5Cfrac%7B3%7D%7B27%7D%3D-%5Cfrac%7B1%7D%7B9%7D)
The slope is
. Insert into the equation:
![y=-\frac{1}{9}x +b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B9%7Dx%20%2Bb)
Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:
![(13,-2)\\-2=-\frac{1}{9} (13)+b](https://tex.z-dn.net/?f=%2813%2C-2%29%5C%5C-2%3D-%5Cfrac%7B1%7D%7B9%7D%20%2813%29%2Bb)
Solve for b, the y-intercept. Simplify parentheses:
![-\frac{1}{9}*\frac{13}{1}=-\frac{13}{9}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B9%7D%2A%5Cfrac%7B13%7D%7B1%7D%3D-%5Cfrac%7B13%7D%7B9%7D)
![-2=-\frac{13}{9} +b](https://tex.z-dn.net/?f=-2%3D-%5Cfrac%7B13%7D%7B9%7D%20%2Bb)
Add
to both sides:
![-2+\frac{13}{9}=-\frac{13}{9} +\frac{13}{9} +b\\\\-2+\frac{13}{9} =b](https://tex.z-dn.net/?f=-2%2B%5Cfrac%7B13%7D%7B9%7D%3D-%5Cfrac%7B13%7D%7B9%7D%20%2B%5Cfrac%7B13%7D%7B9%7D%20%20%2Bb%5C%5C%5C%5C-2%2B%5Cfrac%7B13%7D%7B9%7D%20%3Db)
Simplify:
![-\frac{2}{1} +\frac{13}{9}\\\\-\frac{18}{9}+\frac{13}{9}\\ \\b=-\frac{5}{9}](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B1%7D%20%2B%5Cfrac%7B13%7D%7B9%7D%5C%5C%5C%5C-%5Cfrac%7B18%7D%7B9%7D%2B%5Cfrac%7B13%7D%7B9%7D%5C%5C%20%20%5C%5Cb%3D-%5Cfrac%7B5%7D%7B9%7D)
The y-intercept is
. Insert this into the equation:
![y=-\frac{1}{9} x-\frac{5}{9}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B9%7D%20x-%5Cfrac%7B5%7D%7B9%7D)
Finito.
Answer:
Imma say C...It makes the most sense!
Step-by-step explanation:
Have a good night!
Plane UVWX and plane QRST
ok but what's the question? u gave us info but what's the question
![z+(-0.72)=-2.5\\\\\text{Step 1}:\ x+(-0.72)+(-0.72)=-2.5+(-0.72)\qquad\text{ERROR}\\\\CORRECT\ IS:\ x+(-0.72)-(-0.72)=-2.5-(-0.72)\\\\\text{Step 2}:\ x=-2.5+0.72\\\\\text{Step 3}:\ x=-1.78](https://tex.z-dn.net/?f=z%2B%28-0.72%29%3D-2.5%5C%5C%5C%5C%5Ctext%7BStep%201%7D%3A%5C%20x%2B%28-0.72%29%2B%28-0.72%29%3D-2.5%2B%28-0.72%29%5Cqquad%5Ctext%7BERROR%7D%5C%5C%5C%5CCORRECT%5C%20IS%3A%5C%20x%2B%28-0.72%29-%28-0.72%29%3D-2.5-%28-0.72%29%5C%5C%5C%5C%5Ctext%7BStep%202%7D%3A%5C%20x%3D-2.5%2B0.72%5C%5C%5C%5C%5Ctext%7BStep%203%7D%3A%5C%20x%3D-1.78)
Subtract, not add, -0.72 from both sides.