Final answer:
The slope of the linear equation 7x + y = 0 is -7, obtained by rearranging the equation to the slope-intercept form, which reveals the slope directly.
Step-by-step explanation:
To identify the slope of the linear equation 7x + y = 0, we first solve for y. By subtracting 7x from both sides, we get y = -7x. In the slope-intercept form y = mx + b, m represents the slope and b represents the y-intercept. Thus, the slope of the equation y = -7x is -7. This means for every increase of 1 on the horizontal axis (x), there is a decrease of 7 on the vertical axis (y). The slope is constant all along a straight line.