Question

Which equation can be represented by the line that contains the points (−6, 2) and (9,−8) ?

Answer 1

Answer:

$2x + 3y + 6 = 0$

Step-by-step explanation:

$(y - 2) = \frac{2 + 8}{ - 6 - 9} (x + 6) \\ \\ (y - 2) = - \frac{10}{15} (x + 6) \\ \\ (y - 2) = - \frac{2}{3} (x + 6) \\ \\ - 3(y - 2) = 2(x + 6) \\ \\ - 3y + 6 = 2x + 12 \\ \\ 2x + 12 + 3y - 6 = 0 \\ \\ 2x + 3y + 6 = 0 \: \: \: \\ t his \: is \: the \: required \: equation \: of \: a \: line.$