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Question -

Find the angle between the x-axis and the line joining the points (3, –1) and (4, –2).



Answer -

The Slope of the line joining the points (3, -1) and (4, -2) isgiven by

m = (y2 –y1)/(x2 – x1) where, x ≠ x1

m = (-2 –(-1))/(4-3)

= (-2+1)/(4-3)

= -1/1

= -1

The angle of inclination of line joining the points (3, -1) and(4, -2) is given by

tan θ = -1

θ = (90° + 45°) = 135°

Theangle between the x-axis and the line joining the points (3, –1) and (4, –2) is135°.

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