Question

Write a linear function through the points (0,9) and (1,27)

Answer 1

y=
`(1)/(18)`x + 9

Step-by-step explanation:

(0,9) , (1,27)

(
`x_(2)`-
`x_(1)`)÷(
`y_(2)`-
`y_(1)`) = slope

`x_(2)`=1
`x_(1)`=0 
`y_(2)`=27
`y_(1)`=9

(1-0)÷(27-9) = 1/18

m = slope = 1/18

y-
`y_(1)` = m (x-
`x_(1)`)

y-9=
`(1)/(18)` (x-0)

y-9 =
`(1)/(18)`x

y=
`(1)/(18)`x + 9

Answer 2

y = 18x + 9

Step-by-step explanation:

(0,9), (1,27)

slope:

`\sf (y_2-y_1)/(x_2-x_1)`

`\sf (27-9)/(1-0)`

`\sf 18`

equation:

y - y₁ = m ( x - x₁)

y - 9 = 18 ( x - 0 )

y = 18x + 9