Step by step
The question
Question: graph x = 3 and y = −2.
Two new words.
Vertical means straight up and down.
Horizontal means flat, going across.
1 Read the equations
x = 3 has only x: x is always 3.
It is a vertical line.
y = −2 has only y: y is always −2.
It is a horizontal line.
2 Draw x = 3
Draw the grid.
The x-axis goes across.
The y-axis goes up and down.
They meet at 0.
That point is called the origin.
x = 3 crosses the x-axis at 3.
Draw a vertical line through it: straight up and down.
3 Draw y = −2
y = −2 crosses the y-axis at −2.
Draw a horizontal line through it: flat, across.
4 Where they meet
The lines meet at one point.
There x = 3 and y = −2.
So they meet at (3, −2).
5 Check
Let's check: (3, −2) has x = 3, so it is on the first line.
It has y = −2, so it is on the second line too.
Right!
Let's look back.
First: read the equations.
Then: draw x = 3.
Then: draw y = −2.
Then: where they meet.
Last: check.