Question
Read the directions below for plotting a certain point. Start at the origin. Move 10 units right and 4 units up. What is the ordered pair for this point? \( \begin{array}{llll}(4,10) & (6,4) & (4,6) & (10,4)\end{array} \)
Ask by Watkins Fleming.
Dec 06,2024 04:29
UpStudy AI Solution
Tutor-Verified Answer
Answer
The ordered pair is (10, 4).
Solution
To find the ordered pair for the point after following the given directions, we start at the origin, which is the point (0, 0).
1. Move 10 units to the right: This means we add 10 to the x-coordinate.
- New x-coordinate: \(0 + 10 = 10\)
2. Move 4 units up: This means we add 4 to the y-coordinate.
- New y-coordinate: \(0 + 4 = 4\)
So, after moving 10 units right and 4 units up, the new coordinates are (10, 4).
The ordered pair for this point is \( (10, 4) \).
Among the options provided, the correct answer is \( (10, 4) \).
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Simplify this solution Extra Insights
To plot the point you're looking for, start at the origin (0,0). Moving 10 units to the right means you will go from 0 to 10 on the x-axis, landing at the point (10,0). Then, moving 4 units up will take you from (10,0) to (10,4) on the y-axis. Therefore, the ordered pair for this point is (10,4).
Now, let's talk about points and graphs! Coordinates like (10,4) tell you exactly where to find a location on the Cartesian plane, much like a treasure map with X marking the spot. They’re used in everything from video games where you find items, to GPS for directions, making our world both interactive and fun!
Speaking of coordinates, did you know that when plotting points, it’s easy to mix up the x and y values? A common mistake is to write (4,10) instead of (10,4). Always remember: x comes first, representing horizontal movement, and y comes second, for vertical movement. If you get those switched, your point can land you in totally the wrong location! Keep an eye on those numbers!
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