in order to rewrite an equation in slope-intercept form (y=mx+b) all you have to do is solve the equation for y.
x-19y=-19
subtract x from both sides
-19y=-19-x
divide both sides by -19 (divide BOTH terms on right side)
y=1+1x/19
rearrange terms to match slope-intercept form (you could do this from the beginning)
y=1x/19+1
i hope this is a good explanation. if you need further explanation, i can definitely help!
