Answer:
B. y = -3x + 2
Step-by-step explanation:
The equation for slope intercept form is [tex]y=mx+b[/tex]
We need to find the slope and y-intercept.
Let's find the slope first.
Using the slope formula:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{-4-2}{2-0}=\frac{-6}{2}=-3[/tex]
So, the slope of the points (0,2) and (2,-4) is -3.
-3 will replace m.
The Y-intercept, or b, is 2, since (0,2) is on the y-axis.
We end up with: [tex]y=-3x+2[/tex]
Option B is correct since it matches our equation.
