Step-by-step explanation:
The slope of the line is -4/7.
Answer:
first off, welcome to brainly, second, your answer is 14.4
Step-by-step explanation:
The coordinate of point V is at (-16, 9)
If Point T(-9,5) lies on the perpendicular bisector of UV, this means that the point divides the line UV into two equal parts
Given the following coordinates
Midpoint T = (-9, 5)
U = (-2, 1)
Required
coordinate of point V
Using the midpoint formulas;
![T(x, y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) \\T(-9, 5) = (\frac{-2+x_2}{2}, \frac{1+y_2}{2})](https://tex.z-dn.net/?f=T%28x%2C%20y%29%20%3D%20%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%29%20%5C%5CT%28-9%2C%205%29%20%3D%20%28%5Cfrac%7B-2%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7B1%2By_2%7D%7B2%7D%29)
Get the value if x₂ and y₂
![-9 = \frac{-2+x_2}{2}\\-18 = -2+x_2\\x_2 = -18+2\\x_2 = -16\\](https://tex.z-dn.net/?f=-9%20%3D%20%5Cfrac%7B-2%2Bx_2%7D%7B2%7D%5C%5C-18%20%3D%20-2%2Bx_2%5C%5Cx_2%20%3D%20-18%2B2%5C%5Cx_2%20%3D%20-16%5C%5C)
Similarly;
![5 = \frac{1+y_2}{2}\\10 = 1+y_2\\y_2 = 10-1\\y_2 = 9\\](https://tex.z-dn.net/?f=5%20%3D%20%5Cfrac%7B1%2By_2%7D%7B2%7D%5C%5C10%20%3D%201%2By_2%5C%5Cy_2%20%3D%2010-1%5C%5Cy_2%20%3D%209%5C%5C)
Hence the coordinate of point V is at (-16, 9)
Learn more here: brainly.com/question/18049211
Answer:
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Step-by-step explanation: