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Find the equation of the linear function x 1 2 3 4 y 6 9 12 15​

User Knokio
by
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1 Answer

2 votes

Answer:

The equation of the linear function is y = 3x + 3

Explanation:

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

  • m is the slope
  • b is the y-intercept

The rule of the slope is m =
(y2-y1)/(x2-x1) , where

  • (x1, y1) and (x2, y2) are two points on the line

∵ A line passes through points (1, 6) and (2, 9)

x1 = 1 ad y1 = 6

x2 = 2 and y2 = 9

→ Use the rule of the slope above to find the slope of the line

∵ m =
(9-6)/(2-1) =
(3)/(1) = 3

m = 3

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

y = 3x + b

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

point on the line

∵ x = 1 and y = 6

∴ 6 = 3 (1) + b

∴ 6 = 3 + b

→ Subtract 3 from both sides

∵ 6 - 3 = 3 - 3 + b

3 = b

→ Substitute the value of b in the equation above

∴ y = 3x + 3

The equation of the linear function is y = 3x + 3

User Nakisha
by
8.3k points

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