Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

Now, slope of the line AB :  $m = \frac{y_2 - y_1}{x_2 - x_1}$

or, $m = \frac{14 -6 }{10 - 2}$ = $\frac{8}{8}  = 1$

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