Which graph represents the linear function y=1/3x-4
Out of the given options, the graph that represents the linear function y = 1/3x - 4 is option C.
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You're welcome! If you have any more questions, feel free to ask.
To represent the linear function y = (1/3)x - 4 on a graph, you need to plot a series of points that satisfy the equation and then connect them with a straight line.
Here's a step-by-step guide:
1. Choose values for x. Let's choose a few x-values, such as -3, 0, and 3.
2. Plug each value of x into the equation to find the corresponding y-values.
For x = -3: y = (1/3)(-3) - 4 = -1 - 4 = -5
For x = 0: y = (1/3)(0) - 4 = 0 - 4 = -4
For x = 3: y = (1/3)(3) - 4 = 1 - 4 = -3
3. Plot the points (-3, -5), (0, -4), and (3, -3) on the graph.
4. Connect the points with a straight line.
The resulting graph will be a downward-sloping line passing through these points.