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Given line is:
5x -8y = -2
=> -8y = -2 - 5x
=> 8y = 5x + 2
=> y = 5x/8 + 2/8
=> y = 5x/8 + 1/4
So, slope of the line = 5/8
For y intercept, x = 0
So, y = 1/4
So, y intercept = (0, 1/4)