Answer:
y = -1/2 x - 3 1/2
Explanation:
points (1, -4) (3,-5)
slope = (y2-y1)/ (x2-x1)
slope = (-5--4)/(3-1)
= (-5+4) /2
=-1/2
point slope form of a line
y-y1 = m(x-x1)
y--4 = -1/2 (x-1)
y+4 = -1/2 (x-1)
if we want slope intercept form
distribute
y+4 = -1/2 x + 1/2
subtract 4 from each side
y+4-4 = -1/2 x + 1/2 -4
y = -1/2 x - 3 1/2