Rewrite the equation in standard form.y-5=-2(x-2)

To rewrite the equation \( y - 5 = -2(x - 2) \) in standard form, follow these steps:

1. Distribute the \(-2\) on the right-hand side:
   \[
   y - 5 = -2x + 4
   \]

2. Add 5 to both sides to isolate \(y\):
   \[
   y = -2x + 9
   \]

3. Now, to write it in **standard form**, rearrange the terms so that both \(x\) and \(y\) are on the left-hand side and the constant is on the right:
   \[
   2x + y = 9
   \]

The standard form of the equation is:
\[
2x + y = 9
\]

Would you like further details or have any questions about this process?

Here are 5 related questions:
1. How do you identify if an equation is in standard form?
2. What is the general form of a linear equation?
3. How do you convert slope-intercept form to standard form?
4. Can a standard form equation have fractions?
5. How do you find the x- and y-intercepts from standard form?

**Tip**: In standard form, try to keep the coefficient of \(x\) positive and eliminate fractions or decimals if possible.

Rewrite the equation in standard form: y - 5 = -2(x - 2)

Learn how to rewrite the linear equation y - 5 = -2(x - 2) in standard form with a step-by-step solution. This guide covers key algebraic concepts, including slope-intercept and standard form, and is suitable for students in Grades 8-10.

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