Question

Find the equation of a line joining the points (4,3) and (2, -6)​

Answer 1

Answer:

$9x - 2y = 30$

Step-by-step explanation:

$line \: \: \: \: \: \: \: \: (y - 3) =( \frac{3 + 6}{4 - 2} )(x - 4) \\ \\ \\ \\ 2(y - 3) = 9(x - 4) \\ \\ 2y - 6 = 9x - 36 \\ \\ 2y - 9x = - 36 + 6 \\ \\ - 9x + 2y = - 30 \\ in \: slope \: intercept \: form \: \\ 9x - 2y = 30 \\ \\ \frac{x}{ \frac{30}{9} } + \frac{y}{ \frac{30}{2} } = 1 \\ \\ \frac{x}{ \frac{10}{3} } + \frac{y}{15} = 1 \: \: \: in \: general \: form$