If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Coordinate plane graphing word problem

The video dives into the concept of using a coordinate plane to solve real-world problems. It emphasizes how to plot points on the plane and interpret their values, and how to calculate the distance between two points by counting blocks in both the horizontal and vertical directions. Created by Sal Khan.

Want to join the conversation?

  • aqualine ultimate style avatar for user Chloe
    How do you remember which axis goes first? Is it Y axis or X axis?
    (41 votes)
    Default Khan Academy avatar avatar for user
  • mr pants teal style avatar for user Gabe Carlo
    At 0.:25 what does "blocks" mean? (Serious question)
    (14 votes)
    Default Khan Academy avatar avatar for user
  • primosaur tree style avatar for user Jean LukK
    I live in Ohio
    (15 votes)
    Default Khan Academy avatar avatar for user
  • duskpin tree style avatar for user Kayra Lopez
    assume you have 5.7 * 14.73. First number has decimal after 1st digit, second number has after 2 digits.
    You can directly multiply without seeing decimal and put decimal after third number (1+2) from left to the answer. You may get proof if you write it as
    (57/10) * (1473/100) = (57*1473) / (10*100) = 83961/1000 = 83.961
    (15 votes)
    Default Khan Academy avatar avatar for user
  • blobby green style avatar for user Marioc115
    yo did you know I didn't know that we're told that Naomi lives at 2nd Avenue and 3rd Street representing 2, 3 on the graph below. Her school is it 4th Avenue and 10th street, representing 4, 10 on the graph. She walks over to 4th Avenue and up to 10th Street. Plot her home and school on the map. How many blocks does Naomi walk to school? So let's plot her home first, 2nd Avenue and 3rd Street, which they are giving us the coordinates 2, 3. So the x-axis right over here, this is representing the avenues. And then the y-axis, or the vertical axis, this represents the street. So 2, 3. So this right over here is 2nd Avenue and 3rd Street. So you see here, we went to 2nd Avenue and then we went up to 3rd Street. This is where she lives at home. We could have also said 3rd Street and 2nd Avenue. Now her school is a 4th Avenue and 10th street. And now we're going to go, so if we start at the origin, we go to 4th Avenue and then go up 10 to 10th Street. So this is the coordinate 4, 10. So this is where our home is. This is where a school is. They say she walks over to 4th Avenue and up to 10th Street. So she walks from 2nd Avenue to 4th Avenue and then up to 10th Street. How many blocks does Naomi walk to school? Well as she walks from 2nd Avenue to 4th Avenue, she's going to walk 2 blocks. 1 block and 2 blocks. You shouldn't get confused by they're actually marking off with these lines every half a block. So that's 1 block to 3rd Avenue, 2 blocks to 4th Avenue. So that's 2 blocks so far. And then she goes from 3rd Street to 10th Street. Well, if you go from 3rd Street to 10th Street, that's going to be 7 more blocks. 1, 2, 3, 4, 5, 6, 7. So 2 in the horizontal direction and then 7 in the vertical direction. So that's 9 total blocks. So surprising.
    (9 votes)
    Default Khan Academy avatar avatar for user
  • sneak peak blue style avatar for user AveryH
    8*8=64 up vote or down vote
    (5 votes)
    Default Khan Academy avatar avatar for user
  • blobby green style avatar for user selena.nichols
    if i get 100 up votes i will type 500😻s in the questions and look for them if you see them
    (5 votes)
    Default Khan Academy avatar avatar for user
  • starky sapling style avatar for user everc8
    In the alphabet X is before Y . Hope this helps.😄✌️
    (4 votes)
    Default Khan Academy avatar avatar for user
  • winston default style avatar for user gabriellethieret23
    I've already watched this video but i still don't understand but after watching it it starts to make sense.
    (4 votes)
    Default Khan Academy avatar avatar for user
  • blobby blue style avatar for user olivia.foley
    Why do you make videos
    (4 votes)
    Default Khan Academy avatar avatar for user

Video transcript

We're told that Naomi lives at 2nd Avenue and 3rd Street representing 2, 3 on the graph below. Her school is it 4th Avenue and 10th street, representing 4, 10 on the graph. She walks over to 4th Avenue and up to 10th Street. Plot her home and school on the map. How many blocks does Naomi walk to school? So let's plot her home first, 2nd Avenue and 3rd Street, which they are giving us the coordinates 2, 3. So the x-axis right over here, this is representing the avenues. And then the y-axis, or the vertical axis, this represents the street. So 2, 3. So this right over here is 2nd Avenue and 3rd Street. So you see here, we went to 2nd Avenue and then we went up to 3rd Street. This is where she lives at home. We could have also said 3rd Street and 2nd Avenue. Now her school is a 4th Avenue and 10th street. And now we're going to go, so if we start at the origin, we go to 4th Avenue and then go up 10 to 10th Street. So this is the coordinate 4, 10. So this is where our home is. This is where a school is. They say she walks over to 4th Avenue and up to 10th Street. So she walks from 2nd Avenue to 4th Avenue and then up to 10th Street. How many blocks does Naomi walk to school? Well as she walks from 2nd Avenue to 4th Avenue, she's going to walk 2 blocks. 1 block and 2 blocks. You shouldn't get confused by they're actually marking off with these lines every half a block. So that's 1 block to 3rd Avenue, 2 blocks to 4th Avenue. So that's 2 blocks so far. And then she goes from 3rd Street to 10th Street. Well, if you go from 3rd Street to 10th Street, that's going to be 7 more blocks. 1, 2, 3, 4, 5, 6, 7. So 2 in the horizontal direction and then 7 in the vertical direction. So that's 9 total blocks.