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Question -

Find the equation of the straight lines passing through the following pair of points:
(i) (0, 0) and (2, -2)
(ii) (a, b) and (a + c sin α, b + c cos α)



Answer -

(i) (0, 0) and (2, -2)

Given:

(x1, y1)= (0, 0), (x2, y2) = (2, -2)

The equation of theline passing through the two points (0, 0) and (2, −2) is

By using the formula,

y = – x

The equation of lineis y = -x

(ii) (a, b) and (a + c sinα, b + c cos α)

Given:

(x1, y1)= (a, b), (x2, y2) = (a + c sin α, b + c cos α)

So, the equation ofthe line passing through the two points (0, 0) and (2, −2) is

By using the formula,

y – b = cot α (x – a)

The equation of lineis y – b = cot α (x – a)

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