What is the equation?

The equation is y =   x + 4

Step-by-step explanation:

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

The rule of the slope of a line is , where

To find the equation that represents the given table choose two ordered pairs from it

∵ Points (4, 6) and (6, 7) are from the table

∴ x1 = 4 and y1 = 6

∴ x2 = 6 and y2 = 7

→ Substitute them in the rule of the slope to find it

∵

∴ m =

→ Substitute it in the form of the equation above

∴ y = x + b

→ To find b substitute x and y in the equation by the coordinates

   of any points from the table

∵ x = 4 and y = 6

∴ 6 =   (4) + b

∴ 6 = 2 + b

→ Subtract 2 from both sides

∴ 6 - 2 = 2 - 2 + b

∴ 4 = b

→ Substitute its value in the equation above

∴ y =   x + 4

∴ The equation is y =   x + 4

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step-by-step explanation: