Find the equation of the line: Passing through the points A(2, 0) and

1.	Find the equation of the line: Passing through the points A(2, 0) and B(3,4)
Answer» The required line passes through the points A(2, 0) and B(3,4). Equation of the line in two point form is \(\frac {y-y_1}{y_2-y_1}= \frac {x-x_1}{x_2-x_1}\) Here, (x y ) = (2,0) and (x ,y ) = (3,4) ∴ The equation of the required line is ∴ \(\frac {y-0}{4-0}= \frac {x-2}{3-2}\) ∴ y/4 = x-2/1 ∴ y = 4(x – 2) ∴ y = 4x – 8 ∴ 4x – y – 8 = 0

Find the equation of the line: Passing through the points A(2, 0) and B(3,4)

Answer»

The required line passes through the points A(2, 0) and B(3,4).

Equation of the line in two point form is \(\frac {y-y_1}{y_2-y_1}= \frac {x-x_1}{x_2-x_1}\)

Here, (x y ) = (2,0) and (x ,y ) = (3,4)

∴ The equation of the required line is

∴ \(\frac {y-0}{4-0}= \frac {x-2}{3-2}\)

∴ y/4 = x-2/1

∴ y = 4(x – 2)

∴ y = 4x – 8

∴ 4x – y – 8 = 0