Question

find the equation of the line passing through (3,-6) with the gradient of -1/2​

Answer 1

Answer:

2y+x+9=0

Step-by-step explanation:

eqn is given by

$m = \frac{y - y1}{x - x1}$

given

$- \frac{1}{2} \: as \: m$

and

${3 \: and \: - 6} \: as \: x \: and \: y \: respectively$

subtitute values into the formula

$- \frac{1}{2} = \frac{y - - 6}{x - 3}$

cross multiply giving

$- 1{x - 3}= 2{y + 6$

$- x + 3 = 2y + 12 \\ 2y + 12 + x - 3 = 0 \\ 2y + x + 9 = 0$