Using pivot_longer with multiple column classes

Question

I have a dataset that has this structure (lots of questions asked to survey respondents) that I want to reshape from wide to long:

library(tidyverse)
df_wide <-
  tribble(
    ~resp_id, ~question_1_info, ~question_1_answer, ~question_2_info, ~question_2_answer,
    1, "What is your eye color?", 1, "What is your hair color?", 2,
    2, "Are you over 6 ft tall?", 1, "", NA,
    3, "What is your hair color?", 0, "Are you under 40?", 1
  )

This is the output I would like:

df_long <- 
  tribble(
    ~resp_id, ~question_number, ~question_text, ~question_answer,
    1, 1, "What is your eye color?", 1,
    1, 2, "What is your hair color?", 2,
    
    2, 1, "Are you over 6 ft tall?", 1,
    2, 2, "", NA,
    
    3, 1, "What is your hair color?", 0,
    3, 2, "Are you under 40?", 1
  )

I'm having problems getting the multiple classes of the columns to work together. Here's what I've tried:

  df_wide %>% 
  pivot_longer(
    cols = !resp_id,
    names_to = c("question_number"),
    names_prefix = "question_",
    values_to = c("question_text", "question_answer")
  )

I can't get the right configuration of names_to or names_prefix and values_to.