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skad [1K]
2 years ago
5

Find the rate of change of the linear function shown in the graph. Then find the initial value.

Mathematics
1 answer:
EastWind [94]2 years ago
3 0

rate of change is change in y / change in x


(-1 - -3)/ (0 - -6) = 2/6 = 1/3


initial value is the y value when x is 0 , which is -1

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Answer:

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Step-by-step explanation:

5x+5y=-10\\3x-7y=4

Let's solve the first equation for either x or y. I'll do it for x.

5x+5y=-10

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5x=-5y-10

Now divide by 5.

x=\frac{-5y}{5}-\frac{10}{5}

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Now substitute x in the second equation for this value.

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Add 6

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Combine like terms;

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Divide by -10.

y=\frac{10}{-10}\\ y=-1

-----------------------------------------------------------------------------------------------------------

Take this value of y and replace it in the first equation to find the value of x.

5x+5y=-10\\5x+5(-1)=-10\\5x-5=-10\\5x=-10+5\\5x=-5\\x=\frac{-5}{5}\\ x=-1

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