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Slope-Intercept Form

Multiplying both sides of the equation  by xa yields
 
yb = m(xa)

Now, if the line passes through the y-axis at (0,b), then the equation becomes
 
yb = m(x – 0)
 
or
 
yb = mx
 
or
 
y = mx + b
 
This is called the slope-intercept form of the equation of a line, where m is the slope and b is the y-intercept. This form is convenient because it displays the two most important bits of information about a line: its slope and its y-intercept.

 

Example
The equation of the line above is
Column A Column B
AO BO


Since  is in slope-intercept form, we know the slope of the line is 9/10. Now, the ratio of BO to AO is the slope of the line (rise over run).

 

Hence, . Multiplying both sides of this equation by AO yields .

 

In other words, BO is 9/10 the length of AO. Hence, AO is longer.

 

The answer is (A).
 





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