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Write an equation that will satisfy the x and y values in the table below.

Write an equation that will satisfy the x and y values in the table below.-example-1

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Answer:

The equation that will satisfy x and y values in the table is y = 2x + 3

Explanation:

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

  • m is the slope of the line that represents the equation
  • b is the y-intercept, value y at x = 0

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

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

From the given table

∵ x = 0 and y = 3, x = 1 and y = 5

x1 = 0 and x2 = 1

y1 = 3 and y2 = 5

→ Substitute them in the rule of the slope above

∵ m =
(5-3)/(1-0) =
(2)/(1)

m = 2

∵ b is the value of y at x = 0

∵ y = 3 at x = 0

b = 3

→ Substitute the values of m, b in the form of the equation above

y = 2x + 3

The equation that will satisfy x and y values in the table is y = 2x + 3

User Daniyal
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