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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 left.
So, the slope is (or) .
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 of the line equation is .
Check :
The graph also passes through the point .
(Line equation)
(Substitute )
(Simplify)
.
Since the above statement is true, the slope-intercept form of the line equation is .
The slope-intercept form of the line equation is .
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