Question

Find the length of line segmentAB which joins the following points.A(10, 14) and B(2,6)​

Answer 1

The equation of the line AB is y - x -4 = 0

Explanation:

The points are A (10,14) and B(2,6)

Now, slope of the line AB :
`m = (y_2 - y_1)/(x_2 - x_1)`

or,
`m = (14 -6 )/(10 - 2)` =
`(8)/(8)  = 1`

So, slope of the equation AB = 1

Now, by SLOPE INTERCEPT FORM:

The equation of line is given as : y - y0 = m (x-x0)

So,the equation of line AB is y - 6 = 1(x-2)

or, y - 6 -x + 2 = 0

or, y - x -4 = 0

Hence, the equation of the line AB is y - x -4 = 0