Answer:
y = -1/4x - 2.25
Step-by-step explanation:
If you do this algebraically then use formula:
M= (y2 - y1) / (x2 - x1)
In other words, M= (-3 - (-1)) / (3 - (-5))
M= (-2) / (8)
M= -1/4 <-- This is your slope
To find y-intercept:
Substitute M in the slope-intercept equation (y=mx+b) with -1/4, y=-1/4x+b
Next, Substitute y and x with either point (-5, -1) or (3,-3)
-1 = -1/4(-5) + b <-- Solve for B
-1.25 -1 = 1.25 + b -1.25
-2.25 = b
Now just substitute b and m, and there's your answer:
y = -1/4x - 2.25
Hope this helps!
