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Question -

Find the equation of a line passing through the point (2, 3) and parallel to the line 3x– 4y + 5 = 0.



Answer -

Given:

The equation isparallel to 3x − 4y + 5 = 0 and pass through (2, 3)

The equation of theline parallel to 3x − 4y + 5 = 0 is

3x – 4y+ λ = 0,

Where, λ isa constant.

It passes through (2,3).

Substitute the valuesin above equation, we get

3 (2) – 4 (3) + λ = 0

6 – 12 + λ =0

λ = 6

Now, substitute thevalue of λ = 6 in 3x – 4y + λ = 0, we get

3x − 4y + 6

The required line is3x − 4y + 6 = 0.

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