Question

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

Answer 1

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.

Answer 2

X-intercept would be (-5,0)

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