writing linear eqautions from standard form to slope-intercept form

Question

2x+2y=0

Answer 1

To convert the equation from standard form \(Ax + By = C\) to slope-intercept form \(y = mx + b\), you need to solve for \(y\).

Given the equation:

\[ 2x + 2y = 0 \]

Follow these steps:

1. Isolate the \(y\) term: Subtract \(2x\) from both sides.

   \[ 2y = -2x \]

2. Solve for \(y\): Divide each term by \(2\).

   \[ y = -x \]

This is the equation in slope-intercept form \(y = mx + b\), where the slope \(m = -1\) and the y-intercept \(b = 0\).

So, the slope-intercept form is:

\[ y = -x \]