Hi,

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.

Find the equation of the line that passes through (1,3) and parallel to 2x-3y=5

2x-3y=5   OR    y = (2/3)x - 5/3  m = 2/3

Parallel Lines have equal slopes:

New Line

 y = (2/3)x + b    ||Using Pt(1,3) to solve for b

 3 = 2/3 + b

 7/3 = b

 y = (2/3)x + 7/3  or   2x-3y = -7   

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