Questions: Find the slope and y-intercept of the line with equation x+6y=-6. Then graph the line. The slope is (Type an integer or a simplified fraction.)

$Find the slope and y-intercept of the line with equation x+6y=-6. Then graph the line. The slope is (Type an integer or a simplified fraction.)$

Transcript text: Find the slope and $y$-intercept of the line with equation $x+6 y=-6$. Then graph the line. The slope is $\square$ (Type an integer or a simplified fraction.)

Solution

Solution Steps

Step 1: Rewrite the equation in slope-intercept form

The given equation is $x + 6y = -6$ . To find the slope and $y$ -intercept, we need to rewrite this equation in the slope-intercept form $y = mx + b$ .

Step 2: Solve for

y

$x + 6y = -6$ $6y = -x - 6$ $y = -\frac{1}{6}x - 1$

Step 3: Identify the slope and

y

-intercept

From the equation $y = -\frac{1}{6}x - 1$ , we can see that the slope $m$ is $-\frac{1}{6}$ and the $y$ -intercept $b$ is $-1$ .

Final Answer

The slope is $-\frac{1}{6}$ .

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = (-1/6)x - 1"], "latex_expressions": [" $y = -\\frac{1}{6}x - 1$ "]}

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