Answer:
y=-3x-5.
Step-by-step explanation:
1) the slope-intercetion form is: y=s*x+i, where 's' and 'i' are slope and interception - unknown numbers;
2) if A(-2;1) and B(2;-11), then the slope can be calculated:
[tex]s=\frac{Y_B-Y_A}{X_B-X_A}=\frac{-11-1}{2+2}=-3;[/tex]
3) midpoint of AB has coordinates (0;'i') - interception point , where i - needed number. Then i=1/2*(-11+1)=-5;
4) If s=-3 and i=-5, then the required equation is:
y=-3x-5.
