The ordered pairs (0,-3), (1,2), (2,7), (3,12) represent a function. What is a rule that represents this function. Could you also explain how to do it instead of just the answer.
use any 2 sets of points...we are going to find the slope
slope = (y2 - y1) / (x2 - x1) (1,2)....this is called set 1....so we will label it : x1 = 1 and y1 = 2 (2,7)...this is called set 2.....so we will label it : x2 = 2 and y2 = 7 now we sub into the formula slope = (7 - 2) / (2 - 1) = 5/1 = 5
now we use y = mx + b slope(m) = 5 use any set of ur points....(1,2)...x = 1 and y = 2 now we sub and find b, the y int 2 = 5(1) + b 2 = 5 + b 2 - 5 = b -3 = b
so ur equation is : y = 5x - 3....or f(x) = 5x - 3 <== ur rule
and u will notice that if u sub in any of ur points into this equation, it will come out true
