9514 1404 393
Answer:
![\square\quad{y=\dfrac{1}{2}x+4}\\\\\square\quad{\dfrac{y-5}{x-2}=\dfrac{1}{2}}](https://tex.z-dn.net/?f=%5Csquare%5Cquad%7By%3D%5Cdfrac%7B1%7D%7B2%7Dx%2B4%7D%5C%5C%5C%5C%5Csquare%5Cquad%7B%5Cdfrac%7By-5%7D%7Bx-2%7D%3D%5Cdfrac%7B1%7D%7B2%7D%7D)
Step-by-step explanation:
The slope of a line is the same everywhere, so an equation can be written making use of that fact.
![\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{y-5}{x-2}=\dfrac{7-5}{6-2}=\dfrac{2}{4}\\\\\boxed{\dfrac{y-5}{x-2}=\dfrac{1}{2}}](https://tex.z-dn.net/?f=%5Cdfrac%7By-y_1%7D%7Bx-x_1%7D%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cdfrac%7By-5%7D%7Bx-2%7D%3D%5Cdfrac%7B7-5%7D%7B6-2%7D%3D%5Cdfrac%7B2%7D%7B4%7D%5C%5C%5C%5C%5Cboxed%7B%5Cdfrac%7By-5%7D%7Bx-2%7D%3D%5Cdfrac%7B1%7D%7B2%7D%7D)
Cross-multiplying gives ...
2(y -5) = x -2
2y -10 = x -2 . . . eliminate parentheses
2y = x +8 . . . . . . . add 10; next, divide by 2
![\boxed{y=\dfrac{1}{2}x+4}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D%5Cdfrac%7B1%7D%7B2%7Dx%2B4%7D)
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These equations match choices B and D.
Answer:
10
Step-by-step explanation:
They increased it by $10.
It ended up costing $60.
Hope this helps.
Answer:
choice #3) similar by SSS
The corresponding sides do have the correct ratios.
Step-by-step explanation:
10-5y=3x
1. add 10 to both sides
-5y=3x+10
2. divide everything by -5
y=-3/5x-2
3. your point would start at -2 on the y axis and you would go down 3 and over 5 to get to the next point