Respuesta :

Answer:

y = -2x + 1

Step-by-step explanation:

To find slope, you need to use the formula:

m = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

Plug in the numbers accordingly:

m = [tex]\frac{-3-3 = -6}{2 +1 = 3}[/tex]

m = [tex]\frac{-6}{3}[/tex]

Simplify:

m = -2

To find the y-intercept, you need to plug in one of the coordinates (doesn't matter which one) into the equation:

Coordinate : (-1, 3)

3 = -2(-1) + b

3 = 2 + b

Subtract 2 from both sides:

3 = 2 + b

-2  -2

________

1 = b

Put it all together:

y = -2x + 1