A(3, 1), B(-2, -1/2), C(2, -2), and D(0,1)

**A(3, 1) lies in quadrant I.**

**B(-2, -1/2) lies in quadrant III.**

**C(2, -2) lies in quadrant IV.**

**D(0, 1) lies on the y axis.**

Let's start with the ordered pair (0, -10).

Which number is the *x* value and which one
is the *y *value? If you said *x* = 0 and *y *= -10, you are correct!

**Let's plug (0, -10) into the equation and see what we get:**

Now, let's take a look at (1, -14).

Which number is the *x* value and which one
is the *y* value? If you said *x* = 1 and* y* = -14, you are right!

**Let's plug (1, -14) into the equation and see what we get:**

Now, let's take a look at (-1, -14).

Which number is the *x* value and which one
is the *y* value? If you said *x* = -1 and* y* = -14, you are right!

**Let's plug (-1, -14) into the equation and see what we get:**

If we subtract 2*x* from both sides, then
we can write the given equation as -2*x* + *y* = -1.

**Since we can write it in the standard form, A x + By = C, then we have a linear equation. **

This means that we will have a line when we go to graph this.

The three *x* values I'm going to use are
-1, 0, and 1. **(Note that you can pick ANY three x values that
you want. You do not have to use the values that I picked.) **You
want to keep it as simple as possible. The following is the chart
I ended up with after plugging in the values I mentioned for *x*.

*x**y *= 2*x *-
1**( x, y)**
-1
y = 2(-1) - 1 = -3
(-1, -3)
0
y = 2(0) - 1 = -1
(0, -1)
1
y = 2(1) - 1 = 1
(1, 1)

If we add *x* squared to both sides
we would end up with .
Is this a linear equation? Note how we have an *x *squared
as opposed to* x *to the one power.

It looks like we cannot write it in the form A*x* + B*y *= C, because the *x* has to be to the one power, not squared. So **this is not a linear
equation. **

However, we can still graph it.

The seven x values that I'm going to use are -3, -2, -1, 0, 1, 2, and
3. **(Note that you can pick ANY x values
that you want. You do not have to use the values that I picked.) **You
want to keep it as simple as possible. The following is the chart
I ended up with after plugging in the values I mentioned for

Do you think this equation is linear or not? It is a tricky problem,
because both the *x* and* y* variables are to the one power. However, *x* is inside the absolute value sign and we can't just take it out of there.

In other words, we can't write it in the form A*x *+
B*y *= C. **This means that this equation
is not a linear equation.**

The seven x values that I'm going to use are -3, -2, -1, 0, 1, 2, and
3. **(Note that you can pick ANY x values
that you want. You do not have to use the values that I picked.) **You
want to keep it as simple as possible. The following is the chart
I ended up with after plugging in the values I mentioned for

Last revised on July 3, 2011 by Kim Seward.

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