Observe the graph :
\The graph of the line passes through the points and
.
Find the intercept:
The line crosses the -axis at
, so the
intercept is
.
Find the slope of the line:
\The points are passing through the line from to
,go down
units and
units to the right.
So, the slope is .
Find slope-intercept from the equation:
\The slope-intercept form of line equation is .
Here, is the
-intercept on the graph and
is slope.
(Substitute
and
)
.
Therefore, the slope-intercept form the line equation is .
Check:
\The graph also passes through .
(Substitute
)
(Simplify)
(Simplify)
.
Since the above statement is true, the slope-intercept form of the line equation is .
The slope-intercept frorm the line equation is .