Respuesta :

Answer: y + 3 = 2 (x + 3)

To frame equation , we need to find slope

To find slope , we pick two points from the graph

(0,3)  and (-3,-3)

[tex] slope =\frac{y_2-y_1}{x_2 - x_1} [/tex]

 [tex] slope =\frac{-3-3}{-3 - 0}=\frac{-6}{-3} = 2 [/tex]

Slope = 2

The formula for point - slope form is

[tex] y - y_1 = m (x - x_1) [/tex]

Where m is the slope = 2  and point (x1,y1) is (-3,-3)

Plug in the values in the formula

[tex] y - (-3) = 2 (x - (-3)) [/tex]

Equation becomes [tex] y + 3= 2 (x +3) [/tex]