Find the general form of an equation of the line through the point a that satifies the given condition a(2,4) parallel to the line 5x-2y=4

0  = 5x - 2y - 2

Step-by-step explanation:

Need to find the slope (m) from the parallel line, which has the same slope.

Slope: 5x - 2y = 4   --> 5x - 4 = 2y   -->     --> m =

Point-Slope: y - y₁ = m(x - x₁)  --> m = , (x₁, y₁) = (2, 4)

y - 4 = (x - 2)

 y - 4 = - 5

-y  +4       -y + 4  

     0  =   - y - 1

  2(0  =   - y - 1)

     0  = 5x - 2y - 2