Assuming your parallel passes through -4 one means (-4, 1) x =-4 and y =1 as the coordinates of the point
For your line y = -5/4x + 7
The line parallel would have the same slope of -5/4x
To calculate this parallel in the slope intercept form using the point (-4,1) if -4 one is your point just use this data to calculate b
1 = (-5/4)*-4 + b
1 = 5 + b
Subtract 5 from both sides of the equation
1 - 5 = b
-4 = b
and your parallel line is
y = -5/4x - 4
Give it a try