Question

A line having slope 1/2 passes through the point(1,2). Write the coordinate of any other point lying on the same line

Answer 1

General form of a straight line passing through (a, b) and slope m is,

⇒ y - b = m ( x - a).

Given, Slope of the line is 1/2

So, m = 1/2.

Line passes through the point (1, 2)

so, (a, b) =(1, 2)

Therefore,

The line is

⇒ y - 2 = 1/2 ( x - 1)

⇒ 2 ( y - 2) = x - 1

⇒ 2y - 4 = x - 1

⇒ x - 2y - 1 + 4 = 0

⇒ x - 2y + 3 = 0

Any point on the coordinate plane which satisfies the above equation represents the point lying on the same line.

Let x = 0,

0 - 2y + 3 = 0

-2y = - 3

y = 3/2

Let x = 7,

7 - 2y + 3 = 0

10 - 2y = 0

10 = 2y

y = 5

Therefore, (0, 3/2) & ( 7, 5) are two other points lying on the same line.