A display case of plastic bracelets are marked 13 for $3. If Nate has $60, how many plastic bracelets can Nate get? (assume no other taxes or fees)

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Ответ:

jahsehsgold

06.05.2020

Mathematics

The equation of line is:

8x-9y=-23

Step-by-step explanation:

We are given that a graph is a that passes through two points:

(-4,-1) and $(\dfrac{1}{2},3)$

We know that the equation of line passing through two points:

(a,b) and (c,d) is given by:

$y-b=\dfrac{d-b}{b-a}\times (x-a)$

Here we have:

(a,b)=(-4,-1) and $(c,d)=(\dfrac{1}{2},3)$

Hence, the equation of line is:

$y-(-1)=\dfrac{3-(-1)}{\dfrac{1}{2}-(-4)}\times (x-(-4))\\\\y+1=\dfrac{3+1}{\dfrac{1}{2}+4}\times (x+4)\\\\y+1=\dfrac{4}{\dfrac{9}{2}}\times (x+4)\\\\y+1=\dfrac{4\times 2}{9}\times (x+4)\\\\y+1=\dfrac{8}{9}\times (x+4)\\\\9\times (y+1)=8\times (x+4)\\\\9y+9=8x+8\times 4\\\\9y+9=8x+32\\\\8x-9y=9-32\\\\8x-9y=-23$

Hence the equation of line is:

8x-9y=-23

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