Step by step
The question
Question: graph y = −(1/2)x + 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
The slope has 2 at the bottom.
So we pick x values that 2 goes into: −2, 0 and 2.
Then y comes out whole.
Two points make a line.
The third one checks them.
2 Work out y
Put x = −2 in.
We get y = 3.
Careful!
Minus times minus is plus.
−1/2 × (−2) is 1, not −1.
Now x = 0 in.
We get y = 2.
Now x = 2 in.
We get y = 1.
3 Plot the points
Draw the grid.
Each column is a point: x on top, y under it.
The first one is (−2, 3).
Put a dot.
(0, 2).
Dot.
(2, 1).
Dot.
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 = 4.
We get y = 0.
The point (4, 0) 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.