# Find the equation of the line passing through the points A(2, 0) and B(3, 4). - Mathematics and Statistics

Sum

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

#### Solution

The required line passes through the points A(2, 0) = (x1, y1) and B(3, 4) = (x2, y2) say.
Equation of the line in two point form is

(y - y_1)/(y_2 - y_1) = (x - x_1)/(x_2 - x_1)

∴ the equation of the required line is

(y - 0)/(4 - 0) = (x - 2)/(3 - 2)

∴ y/4 = (x - 2)/1

∴ y = 4(x – 2)
∴ y = 4x – 8
∴ 4x – y – 8 = 0

Is there an error in this question or solution?

#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 5 Locus and Straight Line
Exercise 5.3 | Q 4 | Page 73