Introduction to Linear Functions Quiz Active TIME REMAI 58:31 2. 3 6 x y 13 In order for the data in the table to represent a linear function with a rate of change of +5, what must be the value of a? 3 4 5 a O a=3 23 O a=8 O a = 18 O a = 33

(-1,5)(1,9)
slope = (9 - 5) / (1 - (-1) = 4 / (1 + 1) = 4/2 = 2

y = mx + b
slope(m) = 2
use any of ur points in the table(1,9)...x = 1 and y = 9
now we sub ad find b, the y int
9 = 2(1) + b
9 = 2 + b
9 - 2 = b
7 = b

so ur equation of the table is : y = 2x + 7where the slope = 2 and the y intercept = 7

so, the equation with the greater slope and the greater y int is :
y = 3x + 7.5this has a slope of 3 and a y int of 7.5