Question

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

Answer 1

`5x + 2y = 0`

Explanation:

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

`y - y_1 = (y_2 - y_1)/(x_2 - x_1)(x - x_1)`

`y - 5 = (-5 - 5)/(2 - (-2))(x - (-2))`

`y - 5 = (-10)/(4)(x + 2)`

`y - 5 = (-5)/(2)(x + 2)`

`2y - 10 = -5(x + 2)`

`2y - 10 = -5x - 10`

`5x + 2y = 0`