Answer
See the graph
Work Step by Step
We are given $-x + 0.25y \leq -1.75$
Graph $-x + 0.25y =-1.75$ using a solid line. Use $(0, 0)$ as a test point.
$-x + 0.25y \leq -1.75$
$-(0) + 0.25(0)\leq -1.75$
$0 \leq -1.75$
Shade on the right side of the line that contains $(0, 0)$.