Use intercepts to graph the equation. \( 6 x-2 y+6=0 \) Use the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line.

To find the intercepts for the equation \( 6x - 2y + 6 = 0 \), we first convert it to slope-intercept form \( y = mx + b \). Rearranging gives us \( 2y = 6x + 6 \), which simplifies to \( y = 3x + 3 \). Now, to find the intercepts: 1. **Y-Intercept:** Set \( x = 0 \): \( y = 3(0) + 3 = 3 \). So, the y-intercept is \( (0, 3) \). 2. **X-Intercept:** Set \( y = 0 \): \( 0 = 3x + 3 \) leads to \( 3x = -3 \) or \( x = -1 \). So, the x-intercept is \( (-1, 0) \). With the intercepts \( (0, 3) \) and \( (-1, 0) \), you can plot these points on the graph and draw a line through them, extending it in both directions! For your graphing tool, simply input the equation \( 6x - 2y + 6 = 0 \) or plot the points directly. Enjoy sketching your line!