Respuesta :

Use the poin-slope form of the equation of a line:-


y - y1 = m(x - x1) (where m = slope and the point is (x1, y1))


Plugging in the given values:-


y - 6 = 2/5(x - 10)


multiplying through by 5:-


5y - 30 = 2(x - 10)

5y - 30 = 2x - 20

5y = 2x + 10


In standard form the equation is


2x - 5y = -10 (answer)