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19 votes
Write a linear function for the data in the table

Write a linear function for the data in the table-example-1
User Mezzodrinker
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2.5k points

1 Answer

9 votes
9 votes

Answer:

y = - 1.5x + 9

Explanation:

since the table represents a linear function it has the form

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

calculate m using the slope- formula

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (0, 9) and(x₂, y₂ ) = (4, 3) ← 2 ordered pairs from the table

m =
(3-9)/(4-0) =
(-6)/(4) = -
(3)/(2) = - 1.5

the ordered pair (0, 9 ) indicates that c = 9

y = - 1.5x + 9 ← equation of linear function

User Kamil Sarna
by
3.3k points