ANSWER
The x-intercept is \((-5,0)\)
The y-intercept is \((0,-5)\)
See attachment for graph.
EXPLANATION
The given function is
\(y=-x-5\)
To find the x-intercept, we put \(y=0\) in to the equation.
The equation now becomes \(0=-x-5\).
We now solve for \(x\) to obtain;
\(5=-x\)
\(-5=x\)
Therefore the x-intercept is \((-5,0)\).
To find the y-intercept, we substitute \(x=0\) in to the equation \(y=0-5\)
\(\Rightarrow y=-5\).
This means that the y-intercept is \((0,-5)\).
We now plot the intercepts and draw a straight line through them to obtain the graph that is shown in the attachment.
