Question

The inclination of the line passing through the points (-2, 3); (-1, 4) is ​

Answer 1

Step-by-step explanation:

inclination means angle between points

$by \: slope \: form$

$m = \frac{y2 - y1}{x2 - x1}$

$m = \frac{4 - 3}{ - 1 + 2}$

$m = \frac{1}{1} = 1$

$m = \tan(45) = 1$

OK friend this is urs answer

Answer 2

Answer:-

Inclination of line 45° .

Step-by-step explanation:

Given :- Problem statement :

• points are :- (-2 , 3) and (-1,4) .

To find :- inclination of line .

Solution :-

Step 1) Given points are (-2,3) and (-1,4)

Let , $x_1 = -2 , x_2 = -1\\y_1 = 3 , y_2 = 4$

Step 2) Inclination of the line means its slope ,

formula for slope , $m = \frac{y_2-y_1}{x_2-x_!}$ --- (1)

Step 3) Slope = m = $\frac{4-3}{-1+2 }$

m = 1 --- (2)

Step 4)  m = tan(Ф) --- (3)

Ф = $tan^{-1} (m)$

Ф = $tan ^{-1} (1)$

Ф = 45° .

Inclination of line 45° .

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