Question

Graph the line of equation $y=-x-4$using its slope and y-intercept.

Short answer

The slope of equation $y=-x-4$is $-1$and the y-intercept is $(0,-4)$and the graph of equation is plotted below:

Step-by-step solution

Step 1. Given information

The equation of a line is given as$y=-x-4$.

Step 2. Identify the slope of equation.

The slope intercept form is as $y=mx+b$where $m$is the slope and $(0,b)$is the y-intercept.

The given equation $y=-x-4$is compared with $y=mx+b$, so one gets the slope as $m=-1$.

Step 3. Identify the y-intercept.

The y-intercept of equation$y=-x-4$is$(0,-4)$.

Step 4. Graph the line of equation y=-x-4

The graph of equation is plotted using slope $-1$and y-intercept $(0,-4)$as shown below: