Simplify the equation if possible. Then graph the equation using the \( x \)-intercept and the \( y \)-intercept. \( 2 x-y=-2 \)

To simplify the equation \( 2x - y = -2 \), we can rearrange it into slope-intercept form \( y = mx + b \). Starting from \( 2x - y = -2 \), we can solve for \( y \) by adding \( y \) to both sides and then adding 2 to both sides: \[ y = 2x + 2. \] Now we have the equation in slope-intercept form, where the slope \( m = 2 \) and the \( y \)-intercept \( b = 2 \). To graph the equation, you can find the intercepts. For the \( x \)-intercept, set \( y = 0 \): \[ 0 = 2x + 2 \Rightarrow -2 = 2x \Rightarrow x = -1. \] Thus, the \( x \)-intercept is \((-1, 0)\). For the \( y \)-intercept, set \( x = 0 \): \[ y = 2(0) + 2 = 2. \] Therefore, the \( y \)-intercept is \((0, 2)\). Plot the points \((-1, 0)\) and \((0, 2)\) on a graph, draw a line through them, and you have the graph of the equation! Don’t forget, the line will slope upwards since the coefficient of \( x \) is positive. Happy graphing!