throwaway072310
throwaway072310 throwaway072310
  • 23-10-2020
  • Mathematics
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The graph of a linear function is shown below. Find the zero of the function. help PLEASE

The graph of a linear function is shown below Find the zero of the function help PLEASE class=

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yannicmath
yannicmath yannicmath
  • 23-10-2020

Answer:

x=4

Step-by-step explanation:

Via the formula of the line y = ax+b.

To calculate a:

a = (-6+1.5)/(-4-2) = (-5.5)/(-6)=55/60.

As the line go through the point (-4,-6), we have

-6 = (55/60)(-4) +b

-6 = -55/15 + b

b= -6 + 55/15 = (-90+55)/15 = -35/15 = -7/3

Then, the equation of the line is

y = (55/60)x - 7/3.

In order to find the zero, we plug y = 0 and obtain:

(55/60)x = 7/3

x = (60*7)/(55*3) = 2.54

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