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Ulleksa [173]
2 years ago
5

What is the y- intercept of the function described in the table x: 1,2,3,4 y: 8,6,4,2

Mathematics
2 answers:
Fittoniya [83]2 years ago
8 0

Answer:

10

Step-by-step explanation:

weeeeeb [17]2 years ago
6 0

Answer:

The y-intercept of the function is: b=10

Step-by-step explanation:

Given the table

x                 y

1                 8

2                6

3                4

4                2

Taking any two points to find the slope

  • (1, 8)
  • (2, 6)

The slope between (1, 8) and (2, 6) is:

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)

m=\frac{6-8}{2-1}

m=-2

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

y=mx+b

8 = -2(1) + b

8 = -2 + b

b = 8+2

b = 10

Thus, the y-intercept of the function is: b=10

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