Saturday, January 11, 2014

What is thelinear function whose graph has the points (-4,0) and (1,3)?

The linear function whose graph passes through (-4 , 0)
and (1, 3) is the equation of the line passing through the two
points.


The equation of the line passing through (x1 , y1)
and (x2, y2) is given by (y - y1) = [(y2 - y1)/(x - x2)]*(x -
x1).


Substituting the values given to us we
get:


(y - 0) = [( 3- 0)/(1+ 4)]*( x +
4)


=> y = (3/5)*(x +
4)


Therefore the function
is


f(x) = (3x/5) +
12/5

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