Final answer:
The lines are perpendicular.
Step-by-step explanation:
The given equations are:
a) 8x - 2y + 5 = 0
b) y = 4x - 3
To determine whether the lines are parallel, perpendicular, or neither, we can compare their slopes. The slope-intercept form of a linear equation is y = mx + b, where m is the slope.
Therefore, the slope of line a) is (coefficient of x) / (coefficient of y) = 8 / (-2) = -4, and the slope of line b) is 4.
If two lines have the same slope, they are parallel.
If the product of their slopes is -1, they are perpendicular. In this case, line a) and b) have slopes of -4 and 4, respectively, and their product is -4 * 4 = -16, so the lines are perpendicular.