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A variable y increases from y(1)=2 to y(...

A variable y increases from `y_(1)=2` to `y_(2)=8` linearly with another variable x in the interval `x_(1)=0` to `x_(2)=10`. Express y as function of x and draw its graph.

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The correct Answer is:
intercept is `c=2`. Now the required equation is `y=3/5x+2`
Linear variation is represented by a linear equation of the form `y=mx+c`. To repersent the function on graph we have to join two points whose coordinates are `(x_(1), y_(1))` and `(x_(2), y_(2))` i.e. `(0, 2)` and `(10, 8)`.
Slope of the line is `m=(y_(2)-y_(1))/(x_(2)-x_(1))=(8-2)/(10-0)=3/5`
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