=======================================================
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.
Answer:
perpendicular lines have an inverse slope and place a negative sign on it too so our give line is as below
Step-by-step explanation:
P1 = (0, -3) in the form ( x1, y1)
P2 = (3 , 0 ) in the form (x2, y2)
m= slope
m = y2-y1 / x2 - x1
m = 0-(-3) / 3 - 0
m = 3 / 3
m = 1
since our slope of the given line is 1 then a perpendicular line will have -1
every line perpendicular to the given line has a slope of -1