Question

Plot the x- and y-intercepts to graph the equation. y=−x−5

Answer 1

x-intercept would be (-5,0)

and the y-intercept would be (0,-5)

Answer 2

The x-intercept is
`(-5,0)`

The y-intercept is
`(0,-5)`

See attachment for graph.

Step-by-step 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.