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X g(x)
10 -16
11 -17
12-18
13 -19

Sagot :

We get the equation of the points as x + y + 6 = 0

We are given some points as:

X          g(x)

10         -16

11          -17

12         -18

13         -19

We need to make a equation for the given points.

So, first lets calculate the slope of the equation by taking any two points say (10, -16) and (11, -17)

So, the slope will be:

m = ( y₂ - y₁) / (x₂ - x₁)

m = ( - 17 + 16) / ( 11 - 10)

m = - 1 / 1

m = - 1

Now, the equation is given by:

x - x₁ = m ( y - y₁)

Substituting the values in this, we get that:

x - 10 = -1 ( y + 16)

x - 10 = - y - 16

x + y - 10 + 16 = 0

x + y + 6 = 0

Therefore, we get the equation of the points as x + y + 6 = 0

Learn more about equation here:

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Your question was incomplete. Please refer the content below:

For the given points, find the equation of the line.

X          g(x)

10         -16

11          -17

12         -18

13         -19

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