Steply

Graph y = 4

Step by step, with the reason for every step · Graphing y = mx + b · Algebra 1

Step by step

The question

Question: graph y = 4.

y = 4

1 Read m and b

b is the number on its own: 4.

The line crosses the y-axis at 4.

That point is called the y-intercept.

b = 4 → start at 4

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 4.

Put a dot.

3 Draw the line

Draw a flat line through the dot.

Every point on it has y = 4.

4 Check

Let's check with a table.

We pick x = 1 and x = 2.

There is no x.

So y is 4 for every x.

y = 4
4

The point (1, 4) is on our line.

There is no x.

So y is 4 for every x.

y = 4
4

The point (2, 4) 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 = 4

Your turn

Try this one yourself, then check:

Graph y = 7
Show the answer
start at 7, flat line

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