Write down the coordinates of two more points on the line through (1, 3) of slope.

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Solution

Let the given point be A (1, 3).

Let the point B (x, y) lie on the line passing through point A.

Given that slope of the line passing through point A is

⇒

⇒ 2y − 6 = x − 1

⇒ x − 2y+ 5 = 0

This is the equation of the line passing through point A and having slope

Any point on this line can be found out by assuming x to have any value, say 2 or 3 and putting it in the above equation.

2 − 2y+ 5 = 0

⇒ −2y+ 7 = 0

⇒ y =

Also, 3 − 2y+ 5 = 0

⇒ −2y+ 8 = 0

⇒ y = 4

Thus, the coordinates of two more points on this line are and (3, 4).

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