Answer:
y = -5/4 x + 2
Step-by-step explanation:
the slope of line segment : (1+7) /(9+1) = 8/10
= 4/5
the mid point of line segment :
x = (-1+9)/2= 4
y= (-7+1)/2 = -3
the coordinate : (4, -3)
the slope of line perpendicular to line segment
= -1 ÷ 4/5 = -5/4
so the equation :
y+3= -5/4 (x-4)
y+3= -5/4 x +5
y = -5/4 x + 2
