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.
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:
Since we can write it in the standard form, Ax + 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 = 2x -
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)
It looks like we cannot write it in the form Ax + By = 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 x.
x
(x, y)
-3
y = -(-3)^2 = -9
(-3, -9)
-2
y = -(-2)^2 = -4
(-2, -4)
-1
y = -(-1)^2 = -1
(-1, -1)
0
y = -(0)^2 = 0
(0, 0)
1
y = -(1)^2 = -1
(1, -1)
2
y = -(2)^2 = -4
(2, -4)
3
y = -(3)^2 = -9
(3, -9)
In other words, we can't write it in the form Ax +
By = 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 x.
x
(x, y)
-3
y = |-3| - 1 = 2
(-3, 2)
-2
y = |-2| - 1 = 1
(-2, 1)
-1
y = |-1| - 1 = 0
(-1, 0)
0
y = |0| - 1 = -1
(0, -1)
1
y = |1| - 1 = 0
(1, 0)
2
y = |2| - 1 = 1
(2, 1)
3
y = |3| - 1 = 2
(3, 2)
Last revised on July 3, 2011 by Kim Seward.
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