Answer:
[tex]y=-\frac{5}{3}x +\frac{8}{3}.[/tex]
Step-by-step explanation:
[tex]1. \ formula:\\ \frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1};[/tex]
2. according to the formula above:
[tex]\frac{x+2}{1+2} =\frac{y-6}{1-6}; \ = > \ \frac{x+2}{3} =\frac{y-6}{-5};[/tex]
3. finally, 5x+3y=8 ⇔
[tex]y=-\frac{5}{3}x +\frac{8}{3}.[/tex]
