Step by step
The question
Question: graph y = −2.
y = −2
1 Read m and b
b is the number on its own: −2.
The line crosses the y-axis at −2.
That point is called the y-intercept.
b = −2 → start at −2
There is no x term.
So m = 0.
A slope of 0 means a flat line.
m = 0 → flat line
2 Start at b
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.
Start on the y-axis at −2.
Put a dot.
3 Draw the line
Draw a flat line through the dot.
Every point on it has y = −2.
4 Check
Let's check with a table.
We pick x = 1 and x = 2.
There is no x.
So y is −2 for every x.
y = −2
−2
The point (1, −2) is on our line.
There is no x.
So y is −2 for every x.
y = −2
−2
The point (2, −2) is on our line.
Both points are on the line.
So the graph is right!
Let's look back.
First: read m and b.
Then: start at b.
Then: draw the line.
Last: check.
Answer
y = −2