Graph x = -2 and y = x + 3 Step by Step

Step by step

The question

Question: solve by graphing x = −2 and y = x + 3.

① x = −2 and ② y = x + 3

The answer is a point that is on both lines.

So we draw both lines and see where they meet.

answer = the point on both lines

1 Graph line ①

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 = −2: x is always −2.

It is a vertical line: straight up and down.

2 Graph line ②

In ②, b = 3.

Start on the y-axis at 3.

m = 1.

As a fraction: 1/1.

Go right 1,

then up 1.

Dot.

Join the dots with a straight line.

3 Where they meet

The lines meet at one point.

Go straight down to the x-axis: x = −2.

Go straight across to the y-axis: y = 1.

So x = −2 and y = 1, both at the same time: the point (−2, 1).

(x, y) = (−2, 1)

4 Check in both

Let's check: put x = −2 and y = 1 into both equations.

First ①.

x is −2.

It works.

① x = −2

Now ②.

② y = (−2) + 3 = −2 + 3 = 1

We get 1.

That is y.

It works.

(−2, 1) is on both lines.

So the answer is right!

Let's look back.

First: graph line ①.

Then: graph line ②.

Then: where they meet.

Last: check in both.

Answer