Question

Change the following linear equation in point-slope form to slope-intercept form: y-2=2/3(x+9)

Answer 1

`y=(2)/(3)x+8`

Explanation:

Solve for y and expand
`(2)/(3) (x+9)` :

`y-2=(2)/(3)(x+9)\\\\y=(2)/(3)(x+9)+2\\\\y=(2)/(3)x+ 6+2\\\\y=(2)/(3)x+8`

Answer 2

y =
`(2)/(3)` x + 8

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y - 2 =
`(2)/(3)` (x + 9) ← distribute parenthesis by
`(2)/(3)`

y - 2 =
`(2)/(3)` x + 6 ( add 2 to both sides )

y =
`(2)/(3)` x + 8 ← in slope- intercept form