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y = ax + b,

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

  • math -

    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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