11

 PAGE: 218 SET: Exercises PROBLEM: 11

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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