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