Questions: Consider the following equation: 12x + 12 = -12y + 12 Step 2 of 2: Graph the equation by plotting the x- and y-intercepts. If an intercept does not exist, or is duplicated, use another point on the line to plot the graph.

Solution Steps

The given equation is: \[ 12x + 12 = -12y + 12 \]

First, we need to simplify the equation to make it easier to graph. Combine like terms and isolate \( y \).

\[ 12x + 12 = -12y + 12 \] Subtract 12 from both sides: \[ 12x = -12y \] Divide both sides by 12: \[ x = -y \]

Rewrite the equation \( x = -y \) in the form \( y = mx + b \) where \( m \) is the slope and \( b \) is the y-intercept.

\[ y = -x \]

Final Answer