Instructions: Rewrite the equation y=−23x+4𝑦=−23𝑥+4 in standard form. Standard Form:  x+𝑥+ y=𝑦=

1. Break Down the Problem

To rewrite the equation $y = -23x + 4$ in standard form, we need to manipulate it into the form $Ax + By = C$, where $A$, $B$, and $C$ are integers.

2. Relevant Concepts

Standard form requires that:

• $A$, $B$, and $C$ are integers.
• $A$ should be non-negative.

3. Analysis and Detail

Starting with the equation: $y = -23x + 4$

1. Add $23x$ to both sides to move the $x$ term on the left: $23x + y = 4$

4. Verify and Summarize

The equation $23x + y = 4$ is in standard form $Ax + By = C$, where $A = 23$, $B = 1$, and $C = 4$. This form meets the criteria for standard form.

Final Answer

The equation in standard form is: $23x + y = 4$