aartinez06 aartinez06
  • 14-06-2022
  • Mathematics
contestada

The equation of the line through the points (-2,5) and (2,-5)?

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 16-06-2022

Answer:

[tex] 5x + 2y = 0 [/tex]

Step-by-step explanation:

The equation of the line between points (x1, y1) and (x2, y2) is:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

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

[tex] y - 5 = \dfrac{-10}{4}(x + 2) [/tex]

[tex] y - 5 = \dfrac{-5}{2}(x + 2) [/tex]

[tex] 2y - 10 = -5(x + 2) [/tex]

[tex] 2y - 10 = -5x - 10 [/tex]

[tex] 5x + 2y = 0 [/tex]

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