We begin by finding the slope of the line shown. We can do this choosing two points and calculating rise over run graphically. Using the points \((-2,-1)\)
and \((-1,2)\), we can count the rise to be 3 and the run to be 1, giving a slope of 3. The slope of an equation perpendicular to this would be \(-\frac{1}{3}\). Only
one answer choice has the correct slope.
Attempting to sketch the line perpendicular to the one on the graph and passing through the point \((3,0)\) would give us something like the following:
The sketched line has a \(y\)-intercept around \(y=1\) and a negative slope. Only one answer choice matches these descriptions.