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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