Posted by **jerry** on Monday, January 28, 2008 at 6:27am.

y = ax + b,

if the slope of the line is 1, what is the acute angle between the line and the x-axis?

- math -
**Christiaan**, Monday, January 28, 2008 at 7:27am
The slope of the line is 1, so a=1.

Since the slope of a line equals the tangent of the angle between the x-axis and the line, we find that:

tan(angle) = 1

So if we take the arctangent (which is the inverse of the tangent function) of 1, we find that the angle must equal 45°.

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