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olchik [2.2K]
3 years ago
10

Use the table to write a linear function that relates y to x.

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

y = - \frac{2}{3} x

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 8, 2) and (x₂, y₂ ) = (1, - 4) ← 2 ordered pairs from the table

m = \frac{-4-2}{1-(-8)} = \frac{-6}{1+8} = \frac{-6}{9} = - \frac{2}{3}

the ordered pair (0, 0 ) indicates the line crosses through the origin, then

c = 0

y = - \frac{2}{3} x + 0 , that is

y = - \frac{2}{3} x ← equation of linear function

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