Answer:
[tex] \red{\bold {7x - 9y - 39 = 0}} [/tex]
Step-by-step explanation:
Line passes through the points
[tex] (3, \: - 2) =(x_1, \: y_1) \:\&\: (-6,\: - 9)= (x_2, \: y_2)[/tex]
Equation of line in two point form is given as:
[tex] \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}} [/tex]
