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| PAGE: 193 | SET: Exercises | PROBLEM: 41 |
Observe the graph :
The line passing through the points 
and 
.
Find the constant of variation of the equation:
The statement 
varies directly as 
, means that when 
increases, 
increases by the same factor.
Hence and always have the same ratio.
The constant of variation of the equation and the slope of the line have the same value.
(Direct variation formula)
Consider the point is 
.
(Substitute 
)
(Simplify)
Therefore, the constant of direct variation of the equation is 
.
Find the slope :
.
(Formula for slope)
(Substitute 
and 
)
(Simplify)
(Simplify)
Therefore, the slope is 
.
The constant of variation is 
.
The slope is .
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