Question

graph these equations:
$y = -x - 5$
$y = -x - 5$
click to select points on the graph.

Explanation:

Step1: Identify y-intercept

The equation $y=-x-5$ is in slope-intercept form $y=mx+b$, where $b=-5$. This gives the y-intercept point $(0, -5)$.

Step2: Find a second point

Use slope $m=-1=\frac{-1}{1}$. From $(0, -5)$, move 1 unit right and 1 unit down: $(0+1, -5-1)=(1, -6)$.
Alternatively, substitute $x=-5$: $y=-(-5)-5=0$, so we get the x-intercept $(-5, 0)$.

Step3: Plot and connect points

Plot $(0, -5)$ and $(-5, 0)$ (or $(1, -6)$), then draw a straight line through them. Since both equations are identical, they graph as the same line.

Answer:

The graph is a straight line passing through points such as $(-5, 0)$ and $(0, -5)$, extending infinitely in both directions.