Steply

Graph x = -4 and y = 1

Step by step, with the reason for every step · Vertical and horizontal lines · Algebra 1

Step by step

The question

Question: graph x = −4 and y = 1.

x = −4 and y = 1

Two new words.

Vertical means straight up and down.

Horizontal means flat, going across.

vertical = up and down
horizontal = flat

1 Read the equations

x = −4 has only x: x is always −4.

It is a vertical line.

y = 1 has only y: y is always 1.

It is a horizontal line.

x = −4 → vertical
y = 1 → horizontal

2 Draw x = −4

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 = −4 crosses the x-axis at −4.

Draw a vertical line through it: straight up and down.

3 Draw y = 1

y = 1 crosses the y-axis at 1.

Draw a horizontal line through it: flat, across.

4 Where they meet

The lines meet at one point.

There x = −4 and y = 1.

So they meet at (−4, 1).

(x, y) = (−4, 1)

5 Check

Let's check: (−4, 1) has x = −4, so it is on the first line.

It has y = 1, so it is on the second line too.

Right!

(−4, 1): x = −4, y = 1

Let's look back.

First: read the equations.

Then: draw x = −4.

Then: draw y = 1.

Then: where they meet.

Last: check.

Answer
(x, y) = (−4, 1)

Your turn

Try this one yourself, then check:

Graph x = −3 and y = 1
Show the answer
(x, y) = (−3, 1)

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