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A line passes through the point 1, 4 and has a slope of 9.Write an equation in point-slope form for this line.

Question

A line passes through the point 1, 4 and has a slope of 9.Write an equation in point-slope form for this line.

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Solution

The point-slope form of a line is given by the formula:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

Given that the line passes through the point (1, 4) and has a slope of 9, we can substitute these values into the formula to get the equation of the line.

So, the equation of the line in point-slope form is:

y - 4 = 9(x - 1)

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