Find the equation of the linear function represented by the table below in slope-intercept form. x y
1 0
2 -3
3 -6
4 -9

The equation is y = - 3x + 3

Step-by-step explanation:

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

→ The table has 4 point: (1, 0), (2, -3), (3, -6), (4, -9)

→ We will choose two of them to find the slope

∵ The points (1, 0) and (2, -3) lie on the line

∴ = 1 and = 2

∴ = 0 and = -3

→ Substitute these values in the rule of the slope above

∴

∴ m = -3

→ Substitute the value of the slope in the form of the equation

∴ y = - 3x + b

→ To find b substitute x and y by the coordinates of a point on the line

∵ x = 1 and y = 0

∴ 0 = - 3(1) + b

∴ 0 = - 3 + b

→ Add 3 to both sides

∴ 0 + 3 = -3 + 3 + b

∴ 3 = b

∴ b = 3

→ Substitute the value of b in the form of the equation above

∴ y = -3x + 3

The equation is y = - 3x + 3

your answer is a

step-by-step explanation:

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