Questions: Video Graph the line that has a slope of -1/6 and includes the point (0,4). Click to select points on the graph.

Video Graph the line that has a slope of -1/6 and includes the point (0,4). Click to select points on the graph.
Transcript text: Video Graph the line that has a slope of $-\frac{1}{6}$ and includes the point $(0,4)$. Click to select points on the graph.
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Solution

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Solution Steps

Step 1: Identify the slope and point

The slope of the line is given as $-\frac{1}{6}$ and the point is $(0, 4)$.

Step 2: Use the point-slope form to find the equation of the line

The point-slope form of a line is given by: \[ y - y_1 = m(x - x_1) \] Substituting the given slope \( m = -\frac{1}{6} \) and the point \( (x_1, y_1) = (0, 4) \): \[ y - 4 = -\frac{1}{6}(x - 0) \] \[ y - 4 = -\frac{1}{6}x \] \[ y = -\frac{1}{6}x + 4 \]

Final Answer

The equation of the line is: \[ y = -\frac{1}{6}x + 4 \]

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = (-1/6)x + 4"], "latex_expressions": ["$y = -\\frac{1}{6}x + 4$"]}

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