12 Directions: Convert the equation to Standard Form $$ (A x+B y=C) $$. The lead coefficient (A) should be a positive number. $$ y-2=5(x-3) $$ Standard Form:

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UpStudy AI · Accepted Answer

1. Start with the given point-slope form:
   $$
   y - 2 = 5(x - 3)
   $$
   
2. Distribute on the right-hand side:
   $$
   y - 2 = 5x - 15
   $$
   
3. Rearrange the equation to bring like terms together. Subtract $$y$$ from both sides:
   $$
   -2 = 5x - y - 15
   $$
   
4. Add 15 to both sides to isolate the $$x$$ and $$y$$ terms:
   $$
   13 = 5x - y
   $$
   
5. Rewrite the equation in standard form $$ Ax + By = C $$ where $$ A > 0 $$:
   $$
   5x - y = 13
   $$
$$5x - y = 13$$

12 Directions: Convert the equation to Standard Form \( (A x+B y=C) \). The lead coefficient (A) should be a positive number. \( y-2=5(x-3) \) Standard Form:

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