Answer: To graph the function f(x) = -2/3x -3, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Comparing the given function with the slope-intercept form, we can see that the slope of the function is -2/3 and the y-intercept is -3.
To graph the function, we can start by plotting the y-intercept, which is -3, on the y-axis. Then, we can use the slope to find additional points on the line.
The slope of -2/3 means that for every unit we move to the right along the x-axis, we need to move down by 2/3 units along the y-axis. So, starting from the y-intercept at (-3,0), we can move 3 units to the right along the x-axis and 2 units down along the y-axis to get the point (-0.6,-2). We can repeat this process to get more points on the line, or we can simply draw a straight line through the two points we have found.
Putting it all together, the graph of f(x) = -2/3x -3 looks like:
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-2 | ●
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-3 | ●
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-3 -0.6 x
The ● symbols indicate the two points we found, and the line connecting them represents the graph of the function.
Explanation: