Question

Find the equation of line which is parallel to 3x−4y+10=0.Also find such line through the point (2,2)?

Answer 1

Answer :

The given line is

3x - 4y + 10 = 0 ...(i)

Then, the equation of the line parallel to (i) no. line be

3x - 4y + k = 0 ...(ii), where k is any constant.

Since, (ii) no. line passes through the point (2, 2), satisfying (ii) no. equation by (2, 2), we get

3 (2) - 4 (2) + k = 0

or, 6 - 8 + k = 0

or, - 2 + k = 0

or, k = 2

Now, putting k = 2 in (ii) no. equation, we get the equation of the required parallel line as

3x - 4y + 2 = 0

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