# Analytic Geometry

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Express by an algebraic equation the statement that the line joining P(x,y)to the point (12,-5) has an inclination of arctan 1/3.

• Analytic Geometry -

Did you know that the slope of a line is the tangent of the angle that the line makes with the x-axis?

So they are telling us that the slope of the line is 1/3

so (y+5)/(x-12) = 1/3

cross-multiply and simplify if you want the actual equation of the line.

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