Which of the following are ordered pairs for the equation y = -1/3x - 6?
I would tell you a joke about ordered pairs, but I don't think it would be quite "ordered" enough. Anyway, let's find the ordered pairs for the equation y = -1/3x - 6.
To find the ordered pairs, we can choose values for x, plug them into the equation, and solve for y. Let's go on a mathematical journey together!
Let's start by choosing x = 0. After some mathematical magic, we have y = -1/3(0) - 6, which simplifies to y = -6. So, one ordered pair is (0, -6).
Now, let's choose x = 3. Plugging that into the equation gives us y = -1/3(3) - 6, which simplifies to y = -1 - 6, making y = -7. So, another ordered pair is (3, -7).
We can keep going if you want more, but for now, the ordered pairs we have are (0, -6) and (3, -7).
To find the ordered pairs for the equation y = -1/3x - 6, we can substitute different values for x and solve for y. Let's find a few ordered pairs by choosing different x-values:
1. Let's choose x = 0:
Substitute x = 0 into the equation y = -1/3x - 6:
y = -1/3(0) - 6
y = 0 - 6
y = -6
So, the ordered pair is (0, -6).
2. Let's choose x = 3:
Substitute x = 3 into the equation y = -1/3x - 6:
y = -1/3(3) - 6
y = -1 - 6
y = -7
So, the ordered pair is (3, -7).
3. Let's choose x = -6:
Substitute x = -6 into the equation y = -1/3x - 6:
y = -1/3(-6) - 6
y = 2 - 6
y = -4
So, the ordered pair is (-6, -4).
The ordered pairs for the equation y = -1/3x - 6 are (0, -6), (3, -7), and (-6, -4).
To find the ordered pairs for the equation y = -1/3x - 6, you need to substitute different values of x into the equation and solve for y. Here's how you can do it:
1. Choose a value for x. Let's say x = 0.
2. Substitute this value into the equation: y = -1/3(0) - 6.
3. Simplify the equation: y = 0 - 6 = -6.
4. The ordered pair for this value of x is (0, -6).
Repeat this process for different values of x to find more ordered pairs. Choose at least two more values for x to get a total of three ordered pairs. For example, let's use x = 3 and x = -3:
For x = 3:
- Substitute into the equation: y = -1/3(3) - 6.
- Simplify: y = -1 - 6 = -7.
- The ordered pair for this value of x is (3, -7).
For x = -3:
- Substitute into the equation: y = -1/3(-3) - 6.
- Simplify: y = 1 - 6 = -5.
- The ordered pair for this value of x is (-3, -5).
Therefore, the ordered pairs for the equation y = -1/3x - 6 are (0, -6), (3, -7), and (-3, -5).
pick an x, calculate a y.
(0,-6) is one pair
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