Question

Consider the linear equation y= (1/3)x − 5. Find solutions as ordered pairs, using (x, y) coordinates.

Answer 1

To solve the linear equation y = (1/3)x - 5 for different values of x, simply substitute the values into the equation and solve for y. The resulting ordered pairs, such as (0, -5), (3, -4), and (-3, -6), are solutions to the equation.

Step-by-step explanation:

To find solutions for the linear equation y = (1/3)x - 5, we plug in different values of x and solve for y. This process will give us ordered pairs that make up the solutions to the equation.

Let's find three solutions:

1. For x = 0, y = (1/3)(0) - 5 = 0 - 5 = -5. So the ordered pair is (0, -5).
2. For x = 3, y = (1/3)(3) - 5 = 1 - 5 = -4. So the ordered pair is (3, -4).
3. For x = -3, y = (1/3)(-3) - 5 = -1 - 5 = -6. So the ordered pair is (-3, -6).

Each of these pairs represents a point on the graph of the equation y = (1/3)x - 5.