f(3,-6), slope 1/3

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To get the equation for this line, we would plug in what we were given into the point slope form formula:y - y1 = m(x - x1)Where x1 and y1 are the x and y coordinates of our point (3, -6) and m is the slope we were given 1/3.y - -6 = (1/3)(x - 3)We can change the y - -6 to a y + 6.y + 6 = (1/3)(x - 3)Distribute the (1/3) over (x - 3).y + 6 = (1/3)x - 1Subtract 6 form both sides.y = (1/3)x - 7Now we have the equation for that line in slope intercept form: y = mx + b.  We can see that the slope is 1/3 and that the y intercept is -7.

y = 1/3x-7

y=1/3-7