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


7
1