Question

Which graph best represents a line with a slope of
?

Answer 1

A. y = -2/3 + 3

Explanation:

the line intercept the y axis at +3

and the slope is: -2/3

- i used coordinates (3,1) and (6,-1)

Answer 2

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

Explanation:

Take any two points

(x₁, y₁) = ( 3 , 1 ) & (x₂ , y₂) = (6 , -1)

Slope =
`(y_(2)-y_(1))/(x_(2)-x_(1))\\`

`=(-1-1)/(6-3)\\\\=(-2)/(3)`

m = (-2/3) & (x₁, y₁) = ( 3 , 1 )

y - y₁ = m(x - x₁)

y - 1 =
`(-2)/(3)(x - 3)`

y - 1 =
`(-2)/(3)x - 3 *(-2)/(3)`

y - 1 =
`(-2)/(3)x + 2`

y =
`(-2)/(3)x + 2 + 1`

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