What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)? y = – 5/2x – 1 y = –5/2 x + 5 y = 2/5x – 1 y = 2/5x + 5

First find the slope of the given line like this:

If two lines are parallel, then they have the same slope, so the equation we are looking for is in the form:
and we have to find b using the given point like this:
Substitute x = -2 and y=4 in the above equation like this and solve for a:
 
 
 
The equation of the line is then the following: