Question

Find the equations of the line joining the points L(a,b) and M(b,a).

Answer 1

Step-by-step explanation:

Given that: L(a,b) and M(b,a)

To find: Find the equations of the line joining the points.

Solution: equation of a line passing through A(x1,y1) and B(x2,y2) is given by

$\boxed{(y - y_1) = \frac{y_2 - y_1}{x_2 - x_1} (x - x1) }$

here assume L(a,b) as A

and M(b,a) by B

so,

$x_1 = a, \: \: \: y_1 = b \\ x_2 = b, \: \: \: y_2 = a \\ \\ (y - b) = \frac{(a - b)}{(b - a)} (x - a) \\ \\ (y - b) = \frac{ - (b - a)}{(b - a)} (x - a) \\ \\ (y - b) = - (x - a) \\ \\ y - b = - x + a \\ \\ x + y = a + b$

Equation of line passing through L(a,b) and M(b,a) is x+y= a+b.

Hope it helps you.

Answer 2

Answer:

see it the answer is there