Question

The angle made by the line passing through (2,-3) and (6,1) with x - axis in positive direction is ?​

Answer 1

$\huge{\bold{SOLUTION:-}}$

$<b>Given points are :-$

(2,-3) and (6,1)

Here

x1 is 2

x2 is 6

y1 is -3

y2 is 1

SLOPE 'm'=

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

$\frac{1 + 3}{6 - 2}$

$\frac{4}{4}$

$1$

tan∅ = 1

We know that Tan 45 ° = 1

Therefore ∅ = 45°

Note :- Here ∅ is taken as theta