Michael F. answered • 05/19/18

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While there are many ways to solve this problem, perhaps one of the most direct is to realize that because the lines are parallel they will have the same slope.

y= -5/2 x + b is therefore the equation of the parallel line that passes through (2,-4)

Now just plug 2 in for x and -4 in for y and solve for b

-4 = -5/2 (2) +b => b=1