Explain how to find ordered pairs for the line of the equation 3x-y = 9.

well, pick any old x, like for example x = 0

find y
0 - y = 9
y = -9
so
(0 , - 9)

now pick another x, like x = 1
3 - y = 9
y = 3-9 = -6
so
( 1 , - 6 ) and on and on until bored

To find ordered pairs for a line given its equation, you need to solve the equation for one variable and then substitute values for the other variable.

Let's find the ordered pairs for the line with the equation 3x - y = 9:

Step 1: Choose a variable to solve for. In this case, let's solve for y.

Step 2: Solve the equation for y:
3x - y = 9

Add y to both sides of the equation:
3x - y + y = 9 + y

Simplify:
3x = 9 + y

Subtract 9 from both sides of the equation:
3x - 9 = 9 + y - 9

Simplify:
3x - 9 = y

Step 3: Substitute values for x to find the corresponding y values.

Let's choose some values for x and calculate the corresponding y values:
- If x = 0,
y = 3(0) - 9 = -9

- If x = 1,
y = 3(1) - 9 = -6

- If x = 2,
y = 3(2) - 9 = -3

- If x = 3,
y = 3(3) - 9 = 0

- If x = 4,
y = 3(4) - 9 = 3

Step 4: Combine the x and y values to form the ordered pairs.

The ordered pairs for the line with the equation 3x - y = 9 are:
(0, -9), (1, -6), (2, -3), (3, 0), (4, 3), and so on.

These ordered pairs satisfy the equation 3x - y = 9.

To find ordered pairs for the line of the equation 3x - y = 9, we need to solve the equation for different values of x and find the corresponding values of y.

Step 1: The given equation is 3x - y = 9.

Step 2: Rewrite the equation in terms of y to isolate it:

-y = -3x + 9
y = 3x - 9.

Step 3: Choose any value for x. Let's select a few values for x and find the corresponding y-values:

- If we plug in x = 0, we have:

y = 3(0) - 9 = -9.
So the ordered pair is (0, -9).

- If we plug in x = 1, we have:

y = 3(1) - 9 = -6.
So the ordered pair is (1, -6).

- If we plug in x = 2, we have:

y = 3(2) - 9 = -3.
So the ordered pair is (2, -3).

- If we plug in x = -1, we have:

y = 3(-1) - 9 = -12.
So the ordered pair is (-1, -12).

- If we plug in x = -2, we have:

y = 3(-2) - 9 = -15.
So the ordered pair is (-2, -15).

- If we plug in any other value of x, we can repeat the process to find the corresponding y.

By selecting different values for x and evaluating the equation y = 3x - 9, we can find multiple ordered pairs that satisfy the equation 3x - y = 9.