Question

Instead of making a chart x→y for her rule, Jane recorded the values of x and y by points on a plane: Record the rule using algebra
2,1
3,4
4,7
5,10

Answer 1

For this case we observe that we have a linear equation.
 The generic equation of the line is:
 y-yo = m (x-xo)
 Where,
 m = (y2-y1) / (x2-x1)
 Substituting values we have:
 m = (4-1) / (3-2)
 m = (3) / (1)
 m = 3
 (xo, yo) = (2, 1)
 Then, the line is:
 y-1 = 3 (x-2)
 Rewriting:
 y = 3x-6 + 1
 y = 3x-5
 Answer:
 the rule using algebra is:
 y = 3x-5