Example of how to add EF 7 for SQLite to ASP.Net Core startup class

startup_class_configureservices_example.cs

public void ConfigureServices(IServiceCollection services)
{
    // Add framework services.
    services.AddApplicationInsightsTelemetry(Configuration);
    services.AddMvc();

    // Add SQLite DB using EF Core
    var path = PlatformServices.Default.Application.ApplicationBasePath;
    var connection = $"Filename={Path.Combine(path, "mydb.db")}";

    services.AddEntityFramework()
        .AddSqlite()
        .AddDbContext<MyDBContext>(
            options =>
                { options.UseSqlite(connection); });
}