Given:
Equation of a line is

To find:
The equation of line in slope intercept form that is parallel to line a and goes through point (24, 6).
Solution:
If a linear equation is
, then

In the equation
, a=3 and b=-4, thus the slope of the line is


We know that, slope of two parallel lines are same. So, slope of parallel line is

The parallel line passes through (24, 6) and have slope
, so the equation of line is



Add 6 on both sides.


Therefore, the equation of parallel line in slope intercept form is
.