
Answer:
I don't see the equation options. See below for a predicted equation.
y= (2/3)x + 4
Step-by-step explanation:
The points are (-3,2), (0,4), and (3,6). I will assume they lie in a straight line.
Find an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
m, the slope, is also known as the "Rise/Run."
Pick any two points. I'll use (0,4) and 3,6)
Rise = (6-4) = 2
Run = (3-0) = 3
Slope = 2/3
The equation becomes y = (2/3)x + b
B is easy in this case. Point (0,4) tells us that y = 4 when x = 0 (the definition of b).
The equation is y= (2/3)x + 4
See the attached graph.