Which is the best regression for the data whose response is binary

regression
#1

I came across a problem whose response is binary and I want to know which is the best suited line for this type of problem

#2

@harry-logistic regression is the best method to find best suited line for problem whose response is binary
1-Simple linear regression is one quantitative variable predicting another.
2-Multiple regression is simple linear regression with more independent variables.
3-Non-linear regression is still two quantitative variables,but data is curvelinear.