Question

Find an equation of the line passing through the points (1,-2) and (-2,4)

Answer 1

Step-by-step explanation:

$Equation \: \: of \: \: a \: \: line \: \: passing \: \: through \: \: two \: \: points \: \: \\ </p><p>(x_1, y_1) \: \: and \: \: (x_2, y_2) \: \: is \: \: given \: \: by ;$

$</p><p>(y \: - y_1) = \frac{ (y_2 \: - y_1) }{ (x_2 \: - x_1) } (x \: - x_1)$

Therefore,

$y + 2 = \frac{(4 + 2)}{(- 2 - 1)} (x - 1)$

$y + 2 = - 2(x - 1) \\ 2x + y = 0$

Hence, the answer.