SOLUTION: Find the equation of the line passing through (3,5) that makes an angle of 45(degrees) with the positive x-axis?

Question 641779: Find the equation of the line passing through (3,5) that makes an angle of 45(degrees) with the positive x-axis?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The slope of a line is the tangent of the smaller angle it makes with the positive x-axis.
In the green right triangle,
In this case, is the slope of the line
The point-slope form of the line we want, using point (3,5) is

That simplifies to ,
and adding 5 to both sides of the equal sign,
we get the equivalent, more popular,and unique slope-intercept form:

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