What is the equation of the line described: through: (2, -4), parallel to y= -5/2x + 4?

Answer 1

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