Final answer:
The gradient of the line y + 11x = 4 is -11, as determined by rearranging the equation into slope-intercept form, with the gradient being the coefficient of x.
Step-by-step explanation:
The gradient of the line described by the equation y + 11x = 4 can be found by rearranging the equation into the slope-intercept form, y = mx + b, where m represents the gradient and b represents the y-intercept.
To isolate y in the equation, you subtract 11x from both sides resulting in y = -11x + 4.
In this format, it is clear that the gradient (slope) of the line is -11. This indicates that for every increase of 1 in the x-value, the y-value decreases by 11.