Can U help me please

The equation that represents the relation between the figure number, x, and the number of the tiles, y is y = 2x + 1

Step-by-step explanation:

The slope-intercept form of the equation is y = m x + b, where

In the given pattern

∵ x represents the figure number

∵ y represents the number of tiles

∵ At x = 1, y = 3

∵ At x = 2, y = 5

∵ At x = 3, y = 7

∵ 5 - 3 = 2 and 7 - 5 = 2

→ That means the constant rate of change is 2

∴ m = 2

→ Substitute it in the form of the equation above

∴ y = 2x + b

→ To find b substitute x and y by the first figure

∵ x = 1 and y = 3

∴ 3 = 2(1) + b

∴ 3 = 2 + b

→ Subtract 2 from both sides to find b

∴ 3 - 2 = 2 - 2 + b

∴ 1 = b

→ Substitute it in the equation

∴ y = 2x + 1

The equation that represents the relation between the figure number, x, and the number of the tiles, y is y = 2x + 1