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Nitella [24]
3 years ago
8

If f(3)=7 and f(1)=5, what is the function of f(x)?

Mathematics
1 answer:
Alexandra [31]3 years ago
4 0
<span>f(3)=7 and f(1)=5, is just another way to say x = 3 and y = 7, as well as x = 1 and y = 5, which gives us the points of (3,7) and (1,5), so let's use them,

</span>\bf \begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~ 3 &,& 7~) &#10;%  (c,d)&#10;&&(~ 1 &,& 5~)&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope =  m\implies &#10;\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-7}{1-3}\implies \cfrac{-2}{-2}\implies 1&#10;\\\\\\&#10;% point-slope intercept&#10;\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=1(x-3)&#10;\\\\\\&#10;y-7=x-3\implies y=x+4<span>
</span>
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