contestada

What would the value of a equal so the linear function ay - 2x = 9 is parallel to a line with a slope of 2/3?

Respuesta :

Answer:

y = [tex]\frac{2}{3} x + 9[/tex]

Step-by-step explanation:

I. If y = mx + b

  when y is output, x is input , m is slope and b is addition

 so y - 2x = 9

      y = 9 + 2x

      y = 2x + 9

Replace 2 with [tex]\frac{2}{3}[/tex]

     y = [tex]\frac{2}{3} x[/tex] + 9

Answer:

a is 3

Step-by-step explanation:

[tex]ay - 2x = 9 \\ ay = 2x + 9 \\ y = \frac{2}{a} x + \frac{9}{a} [/tex]

General equation:

[tex]{ \bf{y = mx + c}}[/tex]

m is slope; m = ⅔

by comparison:

[tex] \frac{2}{3} = \frac{2}{a} \\ \\ 2a = 6 \\ a = 3[/tex]