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 : [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
or, [tex]m = \frac{14 -6 }{10 - 2}[/tex] = [tex]\frac{8}{8} = 1[/tex]
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
