Respuesta :

Answer:

[tex]\sf 2 x-5y +25=0[/tex]

Explanation:

  • Given points: (-10, 1)
  • slope: 2/5

Equation:

[tex]\dashrightarrow \sf y - y_1 =m(x - x_1)[/tex]

[tex]\dashrightarrow \sf y - 1 = \dfrac{2}{5} (x - (-10))[/tex]

[tex]\dashrightarrow \sf y = \dfrac{2}{5} x +4 + 1[/tex]

[tex]\dashrightarrow \sf y = \dfrac{2}{5} x +5[/tex]

[tex]\dashrightarrow \sf 5y = 2 x +25[/tex]

[tex]\dashrightarrow \sf 2 x-5y +25=0[/tex]      General form: ax + by + c = 0