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y = -x - 5

Question

y = -x - 5

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $y=-x-5$:
$y=-(0)-5=-5$
Point: $(0, -5)$

Step2: Find x-intercept (y=0)

Substitute $y=0$ into $y=-x-5$:
$0=-x-5 \implies x=-5$
Point: $(-5, 0)$

Step3: Plot and connect points

Mark $(0, -5)$ and $(-5, 0)$ on the grid, then draw a straight line through them, extending it across the graph.

Answer:

The line $y=-x-5$ is graphed by plotting the intercepts $(0, -5)$ and $(-5, 0)$ and drawing a straight line through these points.