Math  /  Geometry

QuestionGraph each equation.
1. y=2y=2

Studdy Solution

STEP 1

What is this asking? We need to draw the line represented by the equation y=2y = 2 on a graph. Watch out! It's easy to mix up y=2y = 2 with x=2x = 2, so make sure you're graphing the correct variable!

STEP 2

1. Prepare the coordinate plane
2. Plot the first point
3. Plot the second point
4. Draw the line

STEP 3

Alright, let's **start** by drawing our x and y-axes!
Make sure they're nice and **straight**, and **clearly label** them 'x' and 'y'.
Also, mark a few numbers along each axis so we know where we are.
This is our coordinate plane, our playground for graphing!

STEP 4

Our equation is y=2y = 2.
This tells us that no matter what xx is, yy is *always* **2**.
So, let's pick an xx value, any xx value!
How about x=0x = 0?
If x=0x = 0 and y=2y = 2, our first point is (0,2)(0, 2).
Find x=0x = 0 on the x-axis, then go **up** to where y=2y = 2.
Put a nice big **dot** there!

STEP 5

Since yy is *always* **2**, let's pick another xx value.
Let's try x=3x = 3 this time.
So, our second point is (3,2)(3, 2).
Find x=3x = 3 on the x-axis, then go **up** to y=2y = 2, just like before. **Plot** another **dot** right there!

STEP 6

Now for the grand finale!
We have two points, (0,2)(0, 2) and (3,2)(3, 2).
Grab your ruler (or if you're feeling adventurous, freehand it!), and draw a **straight line** through those two points.
Extend the line past the points in both directions and add arrows at each end to show that it goes on forever.
And there you have it!
The graph of y=2y = 2 is a beautiful **horizontal line** cutting across the y-axis at y=2y = 2.

STEP 7

The solution is the horizontal line passing through all points where y=2y = 2, as drawn on the coordinate plane.

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