-8x = 5 - 4y let's find the slope of this line......rearrange as
4y = 8x - 5 divide both sides by 4
y = 2x - 5/4
The slope of the above line is given by the coefficient in front of x, i.e., 2
Since parallel lines have the same slope......and we're given the point ( 0, - .5) we can use the point-slope form to write an equation of our line
y - (-.5) = 2(x - 0)
y + .5 = 2x
y = 2x - .5
y = 2x - 1/2 and this is slope-intercept form
Here's the graph of both lines : https://www.desmos.com/calculator/inkglxyfho