To graph this line we need to identify the slope and the y-intercept. The equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.
Step 1: Find the slope and the y-intercept of the line:
The equation of the line is
y= -x −4
Keep in mind that -x is equal to -1x, so an equivalent equation is:
y= -1x −4
So the slope is -1, and the y-intercept is -4
Step 2: Graph the y-intercept:

This is a picture of a coordinate plane with the point (0, -4) graphed on it.
Step 3: Find another point on the line using the slope:
The slope is -1, which we can rewrite as \(\frac{-1}{1}\) . Slope is \(\frac{\text{rise}}{\text{run}}\) which means that to find another point on the graph, we start at the y-intercept and then move down one space, then one space to the right:

This is a picture of a coordinate plane with the points (0, -4) and (1, -5) graphed on it. There is an arrow pointing from (-4, 0) to (-5, 0) and an arrow pointing from (-5, 0) to (1, -5)
Step 4: Draw a line that passes through the points:

This is a picture of a coordinate plane with the points (0, -4) and (1, -5) graphed on it. There is a line passing through both points.