Question

SrinikhiLa told that the angle of the line joining of - 2, 4 and 0, 6 with x-axis is 45 angle are you agree with her answer explain

Answer 1

Answer:

Yes, Srinikhila was correct with his answer.

Step-by-step explanation:

Yes his answer is true.

As he observed that he angle of the line joining of - 2, 4 and 0, 6 with x-axis is 45 angle.

This means that the slope of the line is calculated as:

$m=\tan 45=1$

Also on calculating the slope with the help of two points we get:

We know that the slope of a line passing through two points:

(a,b) and (c,d) is given by:

$m=\dfrac{d-b}{c-a}$

Here we have:

(a,b)=(-2,4) and (c,d)=(0,6).

Hence the slope of line is:

$m=\dfrac{6-4}{0-(-2)}\\\\\m=\dfrac{2}{2}=1$