Answer:
To find the equation of the line that passes through the point (5,-8) and is parallel to the line 5x-4y=16:
1. Identify the slope of the original line (m = 5/4).
2. Use the point-slope formula: y - (-8) = (5/4)(x - 5).
3. Simplify the equation.
4. The equation is y + 8 = 5/4(x - 5), or 5x - 4y = 16.