Write the equation of the line with slope m=1/3 through the point (6,−2). Then, sketch a graph of the line.Please be sure to scale your axes!

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Answer:

  y +2 = (1/3)(x -6)

Step-by-step explanation:

When given a point and a slope, it is convenient to use the point-slope form of the equation for a line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

For your point and slope, this is ...

  y +2 = 1/3(x -6)

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The slope of 1/3 means the graph has a "rise" of 1 for each "run" of 3:

  slope = m = rise/run = 1/3

A graph of it is attached.

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