If A(-1;10) B(0 ;-1) C (-3;2) ,determine whether AB is perpendicular to AC​

No, they aren't perpendicular

Step-by-step explanation:

Two lines are perpendicular if the product of their slope is - 1. The slope of line AB=(-1-10)/(0-(-1))=-11 and the slope of the line AC=(2-10)/(-3-(-1))=4. Since the product of their slope isn't - 1. They aren't perpendicular.

it has the same slope and a different y-intercept

hope this : )