Answer
The slope of a line perpendicular to the given line $\frac{2}{7}$.
Work Step by Step
RECALL:
$\\\\$(i) In the function $f(x) = mx + b$, m=slope and b=y-intercept.
$\\\\$(ii) Perpendicular lines have the slopes that are negative reciprocals of each other (a product of -1).
$\\\\\\$The given function has a slope of $-\frac{7}{2}$.
$\\\\$Perpendicular lines have the slopes whose product is -1 (negative reciprocals of each other) therefore the slope of a line perpendicular to the given line $\frac{2}{7}$.
