The linear function y = -x + 2 is graphed at the end of the function.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we have that:
- The y-intercept is of 2, hence b = 2.
- The x-intercept of 2 means that when y = 0, x = 2.
- The limits mean that the function is decaying, that is, the slope is negative.
Then:
y = mx + 2.
When y = 0, x = 2, hence:
0 = 2m + 2
2m = -2
m = -1.
Then the function is:
y = -x + 2.
The function is graphed at the end of the answer.
More can be learned about linear functions at https://brainly.com/question/24808124
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