Answer:
y = -2.5x + 2.5
Explanation:
Put the equation into y = mx + b form by isolating y:
2x - 5y - 10 = 0
2x - 5y = 10
-5y = -2x + 10
y = 2/5x - 2
Perpendicular lines have opposite reciprocal slopes, so the line's slope will be -5/2, or -2.5
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
5 = -2.5(-1) + b
5 = 2.5 + b
2.5 = b
Plug in the slope and y intercept:
y = mx + b
y = -2.5x + 2.5 is the equation of the perpendicular line