Hi

the standard slope-intercept form for an equation of a line is 

  where m is the slope and b the y-intercept.

 y = (2/3)(-5x) + 38/3, m = -10/3

parallel line to this:   m = -10/3

***Using point-slope form, P(3,4)

y - 4 = (-10/3)(x - 3)

y = (-10/3)x + 14

0r

10x + 3y = 42  Standard Form 

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