Question

Line L passes through the points (0, --3) and (6,9).
(a) Find the equation of line L.

Answer 1

Explanation:

Given points are :

`(0,\:-3)=(x_1,\:y_1) \:\&\: (6,\:9)=(x_2 ,\:y_2)`

Equation of line in two point form is given as:

`(y -y_1 )/(y_1 -y_2 ) = (x -x_1 )/(x_1 -x_2 ) \\ \\ \therefore (y -( - 3))/( -3 -9 ) = (x -0 )/(0 -6 ) \\ \\ \therefore (y + 3)/( -12) = (x )/( -6 ) \\ \\ \therefore (y + 3)/( 2) = (x )/(1) \\ \\ \therefore \: y + 3 = 2x \\ \\ \huge \red{ \boxed{\therefore \: 2x - y - 3 = 0}} \\ is \: the \: required \: equation \: of \: line.`