Question

Write a rule that represents the function: (0,2), (1, 1), (2,0), (3,-1), (4,-2)

Answer 1

To find the rule that represents the function, we can use the slope-intercept form of the equation. For the given set of points, the rule is y = -x + 2.

Step-by-step explanation:

The given set of points represents a linear function. To find the rule that represents the function, we can use the slope-intercept form of the equation.

1. First, let's find the slope (m) of the line using the formula: m = (change in y)/(change in x).
2. Choose any two points from the given set and plug in their coordinates into the formula to find the slope.
3. Next, using the slope-intercept form, y = mx + b, plug in the slope and one of the points to find the y-intercept (b).
4. Finally, substitute the values of m and b into the equation to obtain the rule that represents the function.

For the given set of points (0,2), (1, 1), (2,0), (3,-1), (4,-2), the rule that represents the function is y = -x + 2.