N 5
we have the points
(-3,-2) and (2,-1)
The equation of the line in point-slope form is equal to
y-y1=m(x-x1)
so
Step 1
Find out the slope
m=[-1-(-2)]/[2-(-3)]
m=(-1+2)/(2+3)
m=1/5
step 2
Find out the equation
with
m=1/5
point (-3,-2)
substitute
y+2=(1/5)(x+3)
step 3
Find out the equation with
m=1/5
point (2,-1)
y+1=(1/5)(x-2)
therefore
the answers are
y+2=(1/5)(x+3)
or
y+1=(1/5)(x-2)
both equations are in point-slope form