Question

if point (x+2,2y-3) lies on the line joining the points (1,-3) and (-4,2). Write a linear relation between x and y.

Answer 1

HEY MATE HERE IS UR ANSWER......

Answer 2

Answer:

x + 2y + 1 =0 is the required relation.

Step-by-step explanation:

The equation of the line joining the points (x₁,y₁) and (x₂,y₂) is given as

$y - y_{1} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})$

Equation of the line joining (1,-3) and (-4,2) is given by

$Y +3 = \frac{2+3}{-4-1}(X-1)$

Y+3=-(X-1) = -X+1

X+Y+2=0

∴ Equation of the line is X+Y+2=0

The point (x+2,2y-3) lies on this line, hence it satisfies the equation.

(x+2) + (2y-3) +2 =0

x + 2 + 2y -3 +2 =0

x + 2y + 1 =0.

Hence x + 2y + 1 =0 is the required relation.