Answer
90
Work Step by Step
Step 1. Identify the given vectors: the force $\vec F=3i-5j$, the movement vector from point $(2,2)$ to point $(7,-13)$ is $\vec D=(7-2)i+(-13-2)j=5i-15j$
Step 2. The work done is then given by $W=\vec F\cdot\vec D=3(5)+(-5)(15)=90$
