Answer: -1
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Step-by-step explanation:
First we need to find the slope of this given line.
The two points on here are (0,-3) and (3,0)
Apply the slope formula
m = (y2-y1)/(x2 - x1)
m = (0-(-3))/(3-0)
m = (0+3)/(3-0)
m = 3/3
m = 1
The slope of the given line is 1. The negative reciprocal of this is -1, which is the perpendicular slope.
Side Note: Any two perpendicular lines always have their slope multiply to -1, as long as neither line is vertical.