how do i write the slope-intercept form of the equation of the line through the given points???

through (0,-1) and (-5,-3)??

First you find the slope

m= -3-(-1)/-5-0 = 2/5
then you substitute one point into the equation to find b
y=mx+b
-3= (2/5)(-5)+b
-3+-2+b
b= -1
your answer is:
y=(2/5)x-1