Question

The equation y+6=1/3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?

A. y= 1/3x-3
B. y=1/3x+9
C.y=1/3x-9
D. y=1/3x+3

Answer 1

y+6=1/3(x-9)

Moved all terms from left to right that doesn't contain y

Y=-6 +1/3x-3

Simplify

Y=1/3x-9

Your answer is c.

Answer 2

Answer:
`y=(1)/(3)x-9`

Explanation:

The equation of a line in slope -intercept form is written as :-

`y=mx+c`

The given equation :
`y+6=(1)/(3)(x-9)`

To write the given equation in slope - intercept form , we need to first solve the right -hand sides in the equation.

`y+6=(1)/(3)(x-9)\\\\\Rightarrow\  [tex]y+6=(1)/(3)x-3\\\\\Rightarrow\ y=(1)/(3)x-3-6\\\\\Rightarrow\ y=(1)/(3)x-9`

Hence, the equation written in slope-intercept form :
`y=(1)/(3)x-9`