Hi,

Using the point-slope formula, 

[-1/3, 2/3] and 

[1/3, 7/3] m = -5/3 / -2/3 = 5/2

Using the standard slope-intercept form for an equation of a line y = mx + b  where m is the slope and b the y-intercept.  

 y = (5/2)x + b   |Using ordered pair (-1/3,2/3) to solve for b

2/3 = (5/2)*(-1/3) + b

4/6 + 5/6 = b

    9/6 = 3/2 = b

 y = (5/2)x + 3/2



 

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