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 up units and  units to the right.

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 .

        (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 .