Answer: y - 4x + 5 = 0
Explanation:
The given equation is in the form y - 3 = 4(x-2). This equation is not in standard form yet.
To convert it to standard form, we need to simplify and rearrange the equation.
First, distribute the 4 to both terms inside the parentheses: y - 3 = 4x - 8.
Next, move the variable term (4x) to the left side of the equation by subtracting 4x from both sides: y - 4x - 3 = -8.
Finally, move the constant term (-8) to the left side of the equation by adding 8 to both sides: y - 4x - 3 + 8 = 0.
Combining like terms, we get: y - 4x + 5 = 0.
Therefore, the standard form of the equation y - 3 = 4(x-2) is y - 4x + 5 = 0.
I hope this helps :)