Answer
$$-\frac{4}{7}$$
Work Step by Step
The equation
$$4x+7y=1$$
can be rewritten as
$$7y=-4x+1$$
$$y=-\frac{4}{7}x+\frac{1}{7}$$
The equation of a line in slope-intercept form is
$$y=mx+b$$
where $m$ is the slope and $b$ is the y-intercept.
Therefore,
$$m=-\frac{4}{7}$$
