Find the equation of the line which passes through the point (1,-2) and is parallel to the line Y = 3x +4.
The line y = 3x + 4 is in slope intercept form and has a slope of 3. A line parallel to this line also has the same slope. This gives the slope of the required line as 3. As it passes through the point (1, -2)
(y + 2)/(x - 1) = 3
=> y + 2 = 3x - 3
=> 3x - y - 5 = 0
The equation of the required line is 3x - y - 5 = 0