Straight line graphs. The graph of each of  equations is a straight line: If an equation can be rearranged into the form y = mx +c, then its graph will be a straight line.

ax +by= c  can be rearranged as (which can be re-written as  y = mx+c).

Therefore vertical lines have equations have slope undefined form x =k . Hence graph depend on slope and y-intercept.

st.line graph

St. Line graph