Answer:
x-intercept = (-5,0)
y-intercept = (0,-5)
Step-by-step explanation:
We are given the following information in the question:
[tex]y = -x-5[/tex]
This is an equation of the form [tex]y = mx +c[/tex], which is the equation of a straight line.
x-intercept:
It is the value when y is zero or the line passes through the x-axis.
It can be calculated as:
[tex]y = -x-5\\\Rightarrow 0 = -5-x\\\Rightarrow x = -5[/tex]
Thus, x-intercept = (-5,0)
y-intercept:
It is the value when x is zero or the line passes through the y-axis.
It can be calculated as:
[tex]y = 0-5\\\Rightarrow y = -5[/tex]
Thus, y-intercept = (0,-5)
The attached image shows the x-intercept and y-intercept for the given straight line.
