Answer:
11 17/21
Step-by-step explanation:
Vertices of the given triangle are: (0, 0) , (8, 0) and (-6, 0)
If we dilate the triangle with a scale factor of 1/2 , then the new vertices will be...
![(0*\frac{1}{2}, 0*\frac{1}{2} )= (0,0)](https://tex.z-dn.net/?f=%280%2A%5Cfrac%7B1%7D%7B2%7D%2C%200%2A%5Cfrac%7B1%7D%7B2%7D%20%29%3D%20%280%2C0%29)
![(8*\frac{1}{2}, 0*\frac{1}{2} )= (4,0)](https://tex.z-dn.net/?f=%288%2A%5Cfrac%7B1%7D%7B2%7D%2C%200%2A%5Cfrac%7B1%7D%7B2%7D%20%29%3D%20%284%2C0%29)
![(0*\frac{1}{2}, -6*\frac{1}{2} )= (0,-3)](https://tex.z-dn.net/?f=%280%2A%5Cfrac%7B1%7D%7B2%7D%2C%20-6%2A%5Cfrac%7B1%7D%7B2%7D%20%29%3D%20%280%2C-3%29)
Now we will just plot those vertices for getting the dilated triangle.
Slope = (5 - 0)/(-6 + 3) = -5/3
<span>passes through the origin
</span>y = mx + b
0 = -5/3(-3) + b
b = -5
equation
y = -5/3x - 5