Question

Graph the line of the equation$y=-x-3$using its slope and y-intercept.

Short answer

The graph of $y=-x-3$

Step-by-step solution

Step 1. Given Information 

Equation of line:$y=-x-3$

Step 2. Required to find 

Graph the line of the equation using its slope and y-intercept.

Step 3. Find slope and y-intercept from the equation 

Standard slope-intercept form of line:$y=mx+b$

Given equation:$y=-x-3$

slope,$m=-1$

y-intercept is $(0,-3)$

Step 4. Find rise and run of slope 

$m=-1=\frac{-1}{1}$

Count out the rise and run to mark the second point.

rise$=-1$, run $=1$

Step 5. Draw the line as shown in the graph 

The graph of$y=-x-3$