Answer:
The equation of the parallel line would be y = -2/5x - 2
Explanation:
In order to find this, we first need to find the slope of the first line. We can do this by solving for y.
2x + 5y = 10
5y = -2x + 10
y = -2/5x + 2
Now we know the slope to be -2/5 since parallel lines have the same slope. So we can use point-slope form to find the equation of the line.
y - y1 = m(x - x1)
y - -4 = -2/5(x - 5)
y + 4 = -2/5x + 2
y = -2/5x - 2