Determine the equation of a line, in slope-intercept form, that passes through the points (3, 6) and (6, 8).

Slope = (change in ys) / (change in xs) = (8 - 6)/(6 - 3) = 2/3

Since the line pass through both points:

y = mx + c

Using point (3, 6)     x = 3,  y = 6

6 = 3m + c     m = 2/3

6 = 3*(2/3) + c

6 = 2 + c

2 + c = 6

c = 6 - 2 = 4

y = mx + c             m = (2/3)    c = 4

y = (2/3)x + 4    in the slope intercept form. 

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