Answer:
y = 3n + 7
Step-by-step explanation:
Since this is a linear function, we can take any two points and calculate a slope, for the point-slope form of an equation: y = mx + b, where m is the slope and b is the y-intercept.
I'll pick points (1,10) and (4,19)
Rise = (19-10) = 9
Run = (4 - 1) = 3
Rise/Run, os slope, m, = 9/3 or 3
The equation becomes y = 3x + b
We can determine b by putting one of the points in the above equation and solving for b. I'll use (1,10):
y = 3x + b
10 = 3*1 + b = 7
The equation is: y = 3x + 7
It works for all points given. If we substitute n for x, we can predict the value when n is used:
y = 3x + 7 becomes y = 3n + 7
