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iris [78.8K]
3 years ago
15

What is the linear function of f-10)=12 and f(16)=-1

Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0
<span>f(-10)=12,      x = -10, y = 12

f(16)=-1,        x = 16, y = -1.

so, we have two points, let's check with that,

</span>\bf \begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~ -10 &,& 12~) &#10;%  (c,d)&#10;&&(~ 16 &,& -1~)&#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{-1-12}{16-(-10)}\implies \cfrac{-1-12}{16+10}&#10;\\\\\\&#10;\cfrac{-13}{26}\implies -\cfrac{1}{2}
<span>
</span>\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)} y-12=-\cfrac{1}{2}[x-(-10)]&#10;\\\\\\&#10;y-12=-\cfrac{1}{2}(x+10)\implies y-12=-\cfrac{1}{2}x-5\implies y=-\cfrac{1}{2}x+7<span>
</span>
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