College Algebra
posted by Mountain Scott .
Find the slope intercept equation of the line with the following properties: Parallel to the line 5x+2y=1; containing points (5,4)

5x+2y=1
2 y = 5 x + 1
y = (5/2) x + 1/2
so m, the slope = 5/2
y = (5/2) x + b
4 = (5/2)(5) + b
8/2 = 25/2 + b
b = 17/2
so
y = (5/2)x  17/2
2 y + 5 x = 17