Step by step
The question
Question: graph y = −2 using a table of values.
We pick some x values.
We work out y for each one.
Each x and y make a point.
1 Choose x values
We pick three easy x values: −1, 0 and 1.
Two points make a line.
The third one checks them.
2 Work out y
There is no x.
So y is −2 for every x.
3 Plot the points
Draw the grid.
Each column is a point: x on top, y under it.
The first one is (−1, −2).
Put a dot.
(0, −2).
Dot.
(1, −2).
Dot.
Careful!
y = −2 is not x = −2.
Every point has y = −2, so the line is flat, not up and down.
4 Draw the line
The three dots line up.
Join the dots with a straight line.
It keeps going both ways.
5 Check
Let's check with one more x: x = 2.
We get y = −2.
The point (2, −2) is on our line.
So the graph is right!
Let's look back.
First: choose x values.
Then: work out y.
Then: plot the points.
Then: draw the line.
Last: check.