Questions: Plot the intercepts to graph the equation. x+y=-8

Transcript text: Plot the intercepts to graph the equation. \[ x+y=-8 \]

Solution

Step 1: Find the x-intercept

To find the x-intercept, set $ y = 0 $ in the equation $ x + y = -8 $: \[ x + 0 = -8 \implies x = -8 \]

Step 2: Find the y-intercept

To find the y-intercept, set $ x = 0 $ in the equation $ x + y = -8 $: \[ 0 + y = -8 \implies y = -8 \]

Step 3: Write the equation in slope-intercept form

Rewrite the equation $ x + y = -8 $ in the form $ y = mx + b $: \[ y = -x - 8 \]

The x-intercept is $(-8, 0)$ and the y-intercept is $(0, -8)$. The equation in slope-intercept form is $ y = -x - 8 $.

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 2, "ymin": -10, "ymax": 2}, "commands": ["y = -x - 8"], "latex_expressions": ["$y = -x - 8$"]}

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