Question

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Answer 1

Answer:

Line passing through given points makes an angle of 45° with the positive direction of X-axis.

Step-by-step explanation:

We Have :-

Line joining points ( 5 , 3 ) and ( -1 , -3 ) with positive direction of x axis

To Find :-

Angle between the line and x axis

Formula Used :-

$Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$Slope = tan\theta$

Solution :-

( x₁ , y₁ ) = ( 5 , 3 )

( x₂ , y₂ ) = ( -1 , -3 )

$Slope = \frac{-3-3}{-1-5} \\\\Slope = 1\\\\tan\theta = 1\\\\\theta = tan^{-1}1\\ \\\theta = 45$

Line passing through given points makes an angle of 45° with the positive direction of X-axis.