find slope of 2x + 5y = 4
2x + 5y = 4
5y = -2x + 4
y = (-2/5)x + 4/5
slope = -2/5
parallel = same slope
slope = -2/5 and it goes through the point (5,-4)
point-slope form:
y - y1 = m ( x - x1 )
y - -4 = (-2/5) ( x - 5 )
y + 4 = (-2/5)x + 2
y = (-2/5)x - 2