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Write an equation for if . Then, write the equation of the tangent line in point slope form at .

The Equation of a Line

When given the slope of a line and one point on the line, we can write the equation of the line in graphing form. This is the translation of the origin of the line to the point . The equation is of the form:

Sometimes, you will see the equation of a line also written in point-slope form as .

To find and (the point):  is given as , therefore is .

To find (the slope):evaluate at .