Simplify the equation if possible. Then graph the equation using the \( x \)-intercept and the \( y \)-intercept. \( 3 y-2 x=6 \) Use the graphing tool to graph the equation. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line.

To simplify the equation \( 3y - 2x = 6 \), we can isolate \( y \). Add \( 2x \) to both sides: \[ 3y = 2x + 6 \] Now, divide by 3: \[ y = \frac{2}{3}x + 2 \] Next, we can find the intercepts. For the \( x \)-intercept (where \( y = 0 \)): \[ 0 = \frac{2}{3}x + 2 \] Solving for \( x \) gives us \( x = -3 \). So the \( x \)-intercept is at \( (-3, 0) \). For the \( y \)-intercept (where \( x = 0 \)): \[ y = \frac{2}{3}(0) + 2 \] This gives us \( y = 2 \). So the \( y \)-intercept is at \( (0, 2) \). Using these intercepts, we can graph the equation by plotting the points \( (-3, 0) \) and \( (0, 2) \), and drawing a line through them. If you only have one intercept, simply pick another point by substituting any value for \( x \) or \( y \) and find the corresponding value to create the line! Happy graphing!