Question

Y + 2 = 2/3(x - 9)Solve for y. Find the slope and x and y intercepts

Answer 1

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

Solving for y.

0. Subtracting 2 from both sides of the equation.

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

2. Multiplying the parenthesis:

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

Based on the form:

`y=mx+b`

we can get the slope (m) and the y-intercept (b), which in our case is 2/3 and -8, respectively. Finally, to get the x-intercept, we have to make y = 0:

`0=(2)/(3)\cdot x-8`

Isolating for x:

`(2)/(3)x=8`
`x=(8\cdot3)/(2)=(24)/(2)=12`

Answer:

• Slope: 2/3

,

• x-intercept: (12, 0)

,

• y-intercept: (0, -8)