Question

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?

Answer 1

y =
`(2)/(3) x + 9`

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
`(2)/(3)`

y =
`(2)/(3) x` + 9

Answer 2

a is 3

Explanation:

`ay - 2x = 9 \\ ay = 2x + 9 \\ y = (2)/(a) x + (9)/(a)`

General equation:

`{ \bf{y = mx + c}}`

m is slope; m = ⅔

by comparison:

`(2)/(3) = (2)/(a) \\ \\ 2a = 6 \\ a = 3`