How To Find Ordered Pair

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Larn how to solve for ordered pairs and plot them on a graph

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What is an ordered pair?

Using Linear Equations

Plotting on a Graph

Practice Issues

Practice Problem Solutions

On a Cartesian (or "coordinate") plane, each point is represented by an ordered pair $(ten,y)$ .^[1] A line tin can have space points, just how do you observe the ordered pairs that correspond to them? Read on to learn how to hands observe ordered pairs and identify them on a graph. Then, employ the exercise problems to test what you've learned.

Things Yous Should Know

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Solve your equation for $y$ . Now you have all numbers on one side of the equation, then you can easily solve information technology like whatsoever other basic equation. Just recall to pay attention to your order of operations!^[seven]
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Plot your indicate at the intersection of the $10$ coordinate and the $y$ coordinate. The intersection of those grid lines is the indicate represented by the ordered pair you have. Simple, right? Brand a expert-sized dot there so you'll be able to detect it easily.^[12]
- If you have other ordered pairs, continue plotting those points as well. For case, yous might have a problem where you're supposed to plot 3 points and then draw a line connecting them.

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Word trouble Ms. Frizzle wants to take her form to a special evidence at the local Science Museum. Tickets for the special testify are $5 each, plus a $ii fee for each ticket. Determine the total cost for xviii students. Write your answer equally an ordered pair.^[15]
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Multiple solutions trouble Notice four solutions for $3x+y=24$ . Write your answers equally ordered pairs.^[16]
- Hint: Remember that you tin can choose whatever value you want for $x$ .

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The ordered pairs are $(0,-2)$ , $(-1,-6)$ , and $(2,half dozen)$ . Get-go past converting the equation $-4x+y=-two$ by calculation $4x$ to both sides, then simplify to go $y=-two+4x$ . Swap the society so it matches the slope-intercept grade, and yous accept $y=4x-2$ . Now all you lot have to do is solve each of the three equations:^[17]
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The ordered pairs are $(ane,2)$ and $(-2,-three)$ . This question asks y'all to remember of where a point might exist on a coordinate airplane. Start past sketching out your axes and labeling your quadrants. And so, all yous accept to do is find the two houses:^[18]
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