Answer:
[tex]y=-\frac{2}{3}x+\frac{8}{3} \ (slop-interception \ form).[/tex]
Step-by-step explanation:
if A(1;2) and B(-2;4), then the required equation is:
[tex]\frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B} ;[/tex]
according to this formula, the required equation is:
[tex]\frac{x+2}{1+2} =\frac{y-4}{2-4}; \ => \ \frac{x+2}{3}=\frac{y-4}{-2}; \ or \ y=-\frac{2}{3}x+\frac{8}{3}.[/tex]
