6. \( y=-4 x-11 \)

This equation represents a straight line in slope-intercept form (y = mx + b), where \( m \) is the slope and \( b \) is the y-intercept. In this case, the slope \( m \) is -4, indicating that for every one unit you move to the right along the x-axis, the line drops four units. The y-intercept is -11, meaning the line crosses the y-axis at the point (0, -11). You can easily graph this line by starting at the y-intercept (0, -11) and then using the slope to find other points. Move right 1 unit (to x=1) and then drop down 4 units to find the point (1, -15). Connecting these points will give you a clear view of the linear relationship represented by the equation!