Question

PLEASE HELP!!! 50 POINTS ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!

Answer 1

Answer:

$\red{\bold {7x - 9y - 39 = 0}}$

Step-by-step explanation:

Line passes through the points

$(3, \: - 2) =(x_1, \: y_1) \:\&\: (-6,\: - 9)= (x_2, \: y_2)$

Equation of line in two point form is given as:

$\frac{y-y_1}{y_1-y_2} = \frac{x-x_1}{x_1-x_2} \\\\\frac{y-(-2)}{-2-(-9)} = \frac{x-3}{3-(-6)} \\\\\frac{y+2}{-2+9} = \frac{x-3}{3+6} \\\\\frac{y+2}{7} = \frac{x-3}{9} \\\\9(y+2) = 7 (x - 3)\\\\9y + 18 = 7x - 21\\\\7x - 9y - 21 - 18 = 0\\\\\huge \purple {\boxed {7x - 9y - 39 = 0}}$