Across, Then Up

One tiny point can hide an exact location on a whole grid. But swap two numbers... and your point jumps somewhere completely different. So, what secret order keeps every coordinate on target?

Look at this coordinate grid. Both axes run from zero to ten, and we are in the first quadrant, so every coordinate is positive. The axes meet at the origin, zero, zero. Each point is named by an ordered pair inside brackets. The FIRST number tells you how far to travel across. Watch the dot leave the origin and slide right to four. The second number tells you how far to travel up. Now it climbs to three. Across four, up three, gives the coordinate four, three. Dashed guides show both journeys. Do not read upwards first. Coordinates always follow the same order - across, then up. If you read three, four instead, the dot lands elsewhere. See both points together. Four, three is not the same as three, four.

Let's work through an example. A square coordinate grid shows the first quadrant, with each axis marked in ones from zero to ten. Plot point B at the coordinate seven, six, and state how you know it is correctly placed. Start at the origin. Read the FIRST coordinate: seven. Move horizontally across until you reach seven on the x-axis. A dashed guide rises from that mark. Pause there. You have finished the across journey, but point B still needs its height. Now read the second coordinate: six. From seven on the horizontal axis, move straight up until you are level with six on the vertical axis. The two guide lines cross. Place point B exactly at their crossing, then label it B. Drop to the x-axis at seven, and look left to the y-axis at six. The answer is point B at seven, six.

Remember: coordinates travel across first, then up. Say the pair in that order, follow each axis carefully, and your point will land exactly where it belongs. You have the map now - plot with confidence!