Question 647346
Parallel lines have the same slope.  
To determine the slope of the line, first put in standard form:
2x - 5y = 8
5y = 2x - 8
y = (2/5)x - 8/5
So the line we want has the form y = (2/5)x + b
To find b, use the point (x,y) = (7,-2)
-2 = (2/5)7 + b
b = -24/5
So the equation is y = (2/5)x - 24/5