Slope intercept form is written as y=mx+b, with m being the slope and b being the y intercept.
The slope is negative one. To find the slope, use the formula y1-y2/x1-x2. When you substitute, you may get -4-1/2-(-3). When you solve it, you get -5/5, or -1.
To find the y intercept, look where the line crosses the y axis (vertical line). In the graph, it crosses as -2. Substitute these numbers into the equation and you get y=-1x-2 which can be simplified to y=-x-2.