How to Connect Paired Points with Lines in Scatterplot in ggplot2 in R?

# create dataframe
sample_data <- data.frame( value1 = c(31,12,15,28,45,
                                      21,22,34,56,10),
                          
                          value2 = c(1,2,4,8,16,3,9,
                                     7,5,11),
                          
                          category1 = c('A','B','A','B','A',
                                        'B','A','B','A','B'),
                          
                          category2 = c(0,0,1,1,2,2,3,3,4,4))
# load tidyverse
library(tidyverse)

# create plot
ggplot(sample_data, aes(value1,value2)) +
  geom_point(aes(color=category1, size=3)) +
  geom_line(aes(group = category2))

# create dataframe
sample_data < - data.frame(value1=c(31, 12, 15, 28, 45, 21,
                                    22, 34, 56, 10),
                           value2=c(1, 2, 4, 8, 16, 3, 9, 7, 5, 11),

                           category1=c('A', 'B', 'A', 'B', 'A',
                                       'B', 'A', 'B', 'A', 'B'),

                           category2=c(0, 0, 1, 1, 2, 2, 3, 3, 4, 4))
# load tidyverse
library(tidyverse)

# create plot
ggplot(sample_data, aes(value1, value2)) +
geom_line(aes(group=category2), color="grey",
          size=2, alpha=0.5) +
geom_point(aes(color=category1, size=7))

# create dataframe
sample_data < - data.frame(value1=c(31, 12, 15, 28, 45, 21,
                                    22, 34, 56, 10),

                           value2=c(1, 2, 4, 8, 16, 3, 9, 7, 5, 11),

                           category1=c('A', 'B', 'A', 'B', 'A', 'B',
                                       'A', 'B', 'A', 'B'),

                           category2=c(0, 0, 1, 1, 2, 2, 3, 3, 4, 4))
# load tidyverse
library(tidyverse)

# create plot with ridged line
ggplot(sample_data, aes(value1, value2)) +
geom_line(aes(group=category2), linetype=2) +
geom_point(aes(color=category1, size=3))