Answer:
y = x - 2
Step-by-step explanation:
The equation in slope intercept form is expressed as;
y = mx+c
m is the slope
c is the y -intercept
Get the slope
Given the coordinte points (-1,-3) qnd (-3,-5)
slope m = y2-y1/x2-x1
m = -5-(-3)/-3-(-1)
m = -5+3/-3+1
m = -2/-2
m = 1
Get the y-intercept
Substitute m = 1 and the pount (-1, -3) into y = mx+c
-3 = 1(-1) + c
-3 = -1 + c
c = -3 + 1
c = -2
Get the required equation
Reacll that y = mx+c
y = 1x + (-2)
y = x - 2
Hence the required equation in slope intercept form that passes through the point (-1,-3) qnd (-3,-5) is y = x - 2