Respuesta :

Answer:

y = 18x + 9

Explanation:

(0,9), (1,27)

slope:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \dfrac{27-9}{1-0}[/tex]

[tex]\sf 18[/tex]

equation:

y - y₁ = m ( x - x₁)

y - 9 = 18 ( x - 0 )

y = 18x + 9

Answer:

y= [tex]\frac{1}{18}[/tex]x + 9

Step-by-step explanation:

(0,9) , (1,27)

([tex]x_{2}[/tex]-[tex]x_{1}[/tex])÷([tex]y_{2}[/tex]-[tex]y_{1}[/tex]) = slope

[tex]x_{2}[/tex]=1    [tex]x_{1}[/tex]=0    [tex]y_{2}[/tex]=27    [tex]y_{1}[/tex]=9

(1-0)÷(27-9) = 1/18

m = slope = 1/18

y- [tex]y_{1}[/tex] = m (x- [tex]x_{1}[/tex])

y-9= [tex]\frac{1}{18}[/tex] (x-0)

y-9 = [tex]\frac{1}{18}[/tex]x

y= [tex]\frac{1}{18}[/tex]x + 9