Math  /  Geometry

QuestionPlot the point (5,1)(5,-1) and identify the quadrant.
Click on the graph to plot a point. Click a point to delete it.

Studdy Solution

STEP 1

What is this asking? We need to draw a dot at a specific spot on a graph and figure out which of the four sections it lands in. Watch out! Don't mix up the xx and yy values!
Remember, we walk before we fly, so xx comes first, then yy.

STEP 2

1. Plot the Point
2. Identify the Quadrant

STEP 3

Alright, let's **plot** this point!
We've got our coordinates (5,1)(5, -1).
Remember, the first number is our xx value, which tells us how far to go **left or right**.
The second number is our yy value, telling us how far to go **up or down**.

STEP 4

Our xx value is **5**, which is *positive*.
So, starting from the center of the graph (the **origin** at (0,0)(0,0)), we move **5 units to the right**.

STEP 5

Next, our yy value is **-1**, which is *negative*.
So, from where we landed on the xx-axis, we move **1 unit down**.
Boom! We've plotted our point at (5,1)(5, -1).

STEP 6

Now, let's figure out which **quadrant** our point is in.
Remember, the quadrants are numbered starting from the top right and going counter-clockwise.

STEP 7

Quadrant I has *positive* xx and *positive* yy.
Quadrant II has *negative* xx and *positive* yy.
Quadrant III has *negative* xx and *negative* yy.
And finally, Quadrant IV has *positive* xx and *negative* yy.

STEP 8

Our point (5,1)(5,-1) has a *positive* xx value (**5**) and a *negative* yy value (**-1**).
That puts it squarely in **Quadrant IV**!

STEP 9

The point (5,1)(5, -1) is plotted in **Quadrant IV**.

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