Question

Which graph best represents a line with a slope of ?

Answer 1

Answer:

A. y = -2/3 + 3

Step-by-step 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

Answer:

y = $\frac{-2}{3}x + 3$

Step-by-step explanation:

Take any two points

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

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

          $=\frac{-1-1}{6-3}\\\\=\frac{-2}{3}$

m = (-2/3)  & (x₁, y₁) = ( 3 , 1 )

y - y₁ = m(x - x₁)

y - 1 = $\frac{-2}{3}(x - 3)$

y - 1 = $\frac{-2}{3}x - 3 *\frac{-2}{3}$

y - 1 = $\frac{-2}{3}x + 2$

   y = $\frac{-2}{3}x + 2 + 1$

  y =$\frac{-2}{3}x$ + 3