Question

Write the equation for the following relation. Include all of your work in your final answer. Submit your solution.

P = {(x, y): (1, 0), (2, 4), (3, 8), (4, 12),

Answer 1

y increases by 4 when x increases by 1. So, look for something like

y = 4x+b

Now, when x=1, y=0, so we end up with

y = 4x-4

Answer 2

line of form y = m x + b

m = (Y2/Y1)(X2-X1)
= (4-0)/(2-1)
= 4 check with other points (like (12-0)/(4-1) )

y = 4 x + b
put a point in to find b
0 = 4(1) + b
b = -4
so
y = 4 x - 4