Respuesta :

Slope intercept form = y = mx + b

Our points are (0, 6) and (4,-2)

First find the slope:
[tex]slope = m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m=\frac{-2 - 6}{4 - 0}[/tex]
[tex]m=\frac{-8}{4}[/tex]
[tex]m = -2[/tex]

So our slope = -2

Now that we know our slope is -2 and we know the y intercept = (0,6) we can conclude that the equation of the line is the following:
y = -2x + 6 

We get the 6 by knowing that in the equation y = mx + b the b = y-intercept, which is (0,6)

Answer = B =  y = -2 + 6