Question

slope of the line joining (2,5) and (lamda,3) is 2.then lamda is

Answer 1

Answer:

λ = 1

Step-by-step explanation:

Point form: ( Y - y ) = m ( X - x )

Given:

• Y = 5
• y = 3
• X = 2
• x = λ
• m = 2

To find: λ

Substituting in the formula we get,

⇒ ( 5 - 3 ) = 2 ( 2 - λ )

⇒ 2 = 2 ( 2 - λ )

⇒ 2 / 2 = 2 - λ

⇒ 1 = 2 - λ

⇒ λ = 2 - 1 = 1

Hence the value of λ is 1.

Hope it helps !!

Answer 2

$\huge{hello \: dear}$

Let the coordinates as A and B.

A(2,5)

B(lamda,3)

Compare with , A(2,5) = (X1,Y1)
and B(lamda,3) = (X2, Y1)

Slope of the line AB is given as 2.

Therefore,

From the Formula of a slope of a line

$slope \: of \: line = \frac{Y2 - Y1}{X2 - X1}$

$2 = \frac{3 - 5}{lamda \: - 2}$

$2(lamda - 2) = - 2$

$2lamda \: - 4 \: = - 2$

$2lamda = - 2 + 4$

$2lamda = 2$

$lamda = \frac{2}{2}$

$lamda = 1$

$\boxed{lamda = 1}$

$\huge \frak{thanks}$