Observe the graph :
\The graph 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
unit 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 from 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 from the line equation is
.