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

Given line is 3x – 4y + 2 = 0

⇒

⇒

Which is of the form y = mx + c, where m is the slope of the given line.

∴ slope of the given line is 3/4

We know that parallel line have same slope.

∴ slope of other line = m = 3/4

Equation of line having slope m and passing through (x₁, y₁) is given by

∴ equation of line having slope 3/4 and passing through (-2, 3) is

⇒ 4y – 3 × 4 = 3x + 3 × 2

⇒ 3x – 4y = 18