Okay, so first you need to know that the equation of a line is
y = mx + b (where m is the slope and b is the y intercept)
Since we know that this line is parallel to 5x-y = 4, we need to find its slope and they will have the same slope.
Let's rewrite this equation in slope-intercept form:
5x-y = 4
y = 5x - 4 (y = mx + b)
So now we know that the slope of the line is 5.
So now we just need to know what b is so let's substitute the point (-2,0) into the equation:
y = 5x + b
0 = -10 + b
b = 10
Now we can write the equation of the line parallel to 5x-y=4 and passing through (-2,0):
y = 5x + 10