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]
