Question 197064
let's  do  example  1st
.
14 x +7y =21
.
making  a  "t  box",,,,,,,,,,,x,,,,,,,,,,y
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,0,,,,,,,,,,3
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,3/2,,,,,,0
.
plotting  these,  (0,3)  is  the  y  intercept,  that  is  when  x=0
.
(3/2, 0) is  the  x  intercept,  that  is  where  y=0
.
plotting  on  standard  x-y  coordinates,  shows  a  line  with  y intercept  of  3, and negative  slope (-2)
.
checking,,, putting  in slope  intercept  form, y=-2x +3,,,  which  matches
.
In  general,  x  intercept  is  found  by  setting  y=0
and  , y intercept  is  found  by  setting  x =0.
They  are  extremely  useful  in  plotting  the  graph.