Question

Number rule
equation to fit the pattern x 24 32 40 48 and y 6 8 10 12

Answer 1

y = 1/4(x)

Explanation:

Given the equation:

x 24 32 40 48

y 6 8 10 12

The slope = (y2 - y1) / (x2 - x1)

Slope = (12 - 6) / (48 - 24)

Slope = 6 / 24

Slope = 1 / 4

The slope intercept relation is expressed thus :

y = mx + c

m = slope ; c = intercept

Picking a point :

x = 32, y = 8

8 = 1/4(32) + c

8 = 8 + c

c = 0

Hence, the fit pattern for the equation is :

y = 1/4(x)