Observe the graph:
\The line has negative slope and it has positive -intercept.
Line equation in slope-intercept form is , where
is slope and
is
-intercept.
Check the possibility of each equation in options.
\ \Convert the all equations into slope-intercept form.
\(a) The line equation is .
Compare it with .
.
Above line has negative slope and positive -intercept.
\
(b) The line equation is .
Compare it with .
Above line has positive slope and negative -intercept.
\
(c) The line equation is .
Compare it with .
Above line has negative slope and positive -intercept.
\
(d) The line equation is .
Compare it with .
Above line has positive slope and negative -intercept.
(e) The line equation is .
Compare it with .
Above line has positive slope and positive -intercept.
\
(f) The line equation is .
Compare it with .
Above line has negative slope and negative -intercept.
\
(g) The line equation is .
Compare it with .
Above line has negative slope and positive -intercept.
\
(h) The line equation is .
Compare it with .
Above line has positive slope and positive -intercept.
Possible options are (a), (c), and (g).
\ \Possible options are (a), (c), and (g).