Answer:
The correct answer is y = x - 3.
Step-by-step explanation:
There are many ways to solve this problem. One way is to create an equation based on the points given by finding the slope and y-intercept.
To find the y-intercept of an equation, you can set x = 0 and solve for y. This is one of the points given to us in the dataset: when x = 0, y = -3. Therefore, the y-intercept is (0, -3).
To find the slope, we can use the formula m = (y2-y1)/(x2-x1), and plug in values in the given dataset.
If we plug in the bottom two values, we get: m = (-3 - 0)/(0-3) = -3/-3 = 1
The slope of the line is 1.
We can then use these two values to create an equation in slope-intercept form, or y = mx + b.
The resulting equation is y = 1x - 3 or simply y = x - 3.
Therefore, the correct answer is the fourth option, y = x - 3.
We can confirm this is the correct answer by plugging in the remaining ordered pairs from the dataset.
For more information on datasets and finding equations, check out these other questions on Brainly:
https://brainly.com/question/35420949
https://brainly.com/question/39616404
