The point-slope equation of the line is option (C), y-10 = 2(x-3) is the correct answer.
What is slope of a line?
The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.
For the given situation,
The slope of the line, m = 2
The coordinates of the labeled point, (x1, y1) = (3,10)
The point-slope equation of the line is
\((y-y1)=m(x-x1)\)
On substituting the above values,
⇒ \(y-10=2(x-3)\)
Hence we can conclude that the point-slope equation of the line is option (C), y-10 = 2(x-3) is the correct answer.
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