Answer:
y = 5/2 x - 13
Explanation:
A line perpendicular to y=-2/5x-1 has a slope equal to the negative reciprocal of -2/5. The slope of the line passing through (2,-8) can be calculated as follows:
m = -(-5/2) = 5/2
The equation of the line in point-slope form is:
y - (-8) = (5/2)(x - 2)
Expanding the equation gives:
y + 8 = 5/2 x - 5
Solving for y:
y = 5/2 x - 5 - 8
y = 5/2 x - 13
The equation of the line is:
y = 5/2 x - 13