Respuesta :

Answer: y = 6.75x + 6

Step-by-step explanation:

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Answer:

y=6.75x+6

Step-by-step explanation:

y=mx+b

we can find it by doing [tex]\frac{y^{2}-y^{1} }{x^{2} -x^{1} }[/tex]

I'm going to choose 2,19.5 and 5,39.75

[tex]\frac{39.75-19.5}{5-2}[/tex] we get [tex]\frac{20.25}{3}[/tex] simplified to 6.75

now we know that the slope is 6.75 we can find the y-intercept by plugging in one pair, I'm going to put the 2,19.5 in

19.5=(6.75)2+b then multiply 6.75 by 2

19.5=13.5+b then subtract 13.5 from both sides to remove the 13.5 on B to separate it

6=b so the y-intercept is 6