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A line through the points (a, f(a)) and (b,f(b))

User Sharma
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Final answer:

A line through two given points on a graph.

Step-by-step explanation:

The subject of this question is Mathematics and it is for High School level students.

A line through the points (a, f(a)) and (b, f(b)) is represented by the equation y = f(a) + ((f(b) - f(a))/(b - a))(x - a). This equation represents a straight line that passes through the two given points. The slope of the line is determined by the difference in y-coordinates divided by the difference in x-coordinates.

For example, if the points are (2, 3) and (5, 9), the equation of the line would be y = 3 + ((9 - 3)/(5 - 2))(x - 2).

User Jagd
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