The linear equation of the tangent line to the circle at P is given by: x = -1.
<h3>What is a linear function?</h3>
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.
The equation of the circle, considering it's center at (5,-1) and edge at (10,-1), that is, a radius of 5, is given by:
The slope is given by the derivative at point P, hence:
At point P we have that x = 10, y = -1, hence:
Undefined slope, hence the tangent line is x = -1.
More can be learned about linear functions at brainly.com/question/24808124
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