Question

Write a linear function for the data in the table

Answer 1

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