Respuesta :

9514 1404 393

Answer:

  3x -4y = 4

Step-by-step explanation:

When the slope is given as a positive reduced fraction a/b, the coefficients in standard form can be ...

  ax -by = ...

Then for point (h, k), the equation will be ...

  ax -by = ah -bk

For the given slope and point, the equation is ...

  3x -4y = 3(4) -4(2)

  3x -4y = 4

_____

Additional comment

When the slope is a negative reduced fraction a/b, the coefficients will be ...

  -ax +by = -ah +bk . . . . . . for a line with slope a/b through point (h, k)