Question

What is the equation of the linear function represented by the table? x y –5 14 –2 11 1 8 4 5

Answer 1

Answer:

y=-x+9

Step-by-step explanation:

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Answer 2

The equation of the linear function represented by the table is

y = -x + 9

Step-by-step explanation:

The equation of a linear function is y = m x + b, where m is the slope

and b is the y-intercept

To find the equation:

• Use any two points from the table to find the slope m
• Substitute x and y in the equation by the coordinates of any point in the table to find b

The formula of the slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , where

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points in the table

The table:

x →  -5    -2    1    4

y →  14    11    8    5

Let us use points (-5 , 14) and (-2 , 11) to find the slope of the equation

∵ $x_{1}$ = -5 and $x_{2}$ = -2

∵ $y_{1}$ = 14 and $y_{2}$ = 11

∴ $m=\frac{11-14}{-2--5}=\frac{-3}{3}$

∴ m = -1

∵ The form of the equation is y = mx + b

- Substitute the value of m in the form

∴ y = -x + b

- To find b substitute x by -5 and y by 14

∴ 14 = -(-5) + b

∴ 14 = 5 + b

- Subtract 5 from both sides

∴ 9 = b

- Substitute the value of b in the equation

∴ y = -x + 9

The equation of the linear function represented by the table is

y = -x + 9

Learn more:

You can learn more about the linear equation in brainly.com/question/9801816

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